We have identified stellar and substellar members in the nearby star cluster Coma Berenices, using photometry, proper motions, and distances of a combination of 2MASS, UKIDSS, URAT1, and {it Gaia}/DR2 data. Those with {it Gaia}/DR2 parallax measurements provide the most reliable sample to constrain the distance, averaging 86.7~pc with a dispersion 7.1~pc, and the age $sim800$~Myr, of the cluster. This age is older than the 400--600~Myr commonly adopted in the literature. Our analysis, complete within 5deg of the cluster radius, leads to identification of 192 candidates, among which, after field contamination is considered, about 148 are true members. The members have $Jsim3$~mag to $sim17.5$~mag, corresponding to stellar masses 2.3--0.06~$M_odot$. The mass function of the cluster peaks around 0.3~$M_odot$ and, in the sense of $dN/dm = m^{-alpha}$, where $N$ is the number of members and $m$ is stellar mass, has a slope $alphaapprox 0.49pm0.03$ in the mass range 0.3--2.3~$M_odot$. This is much shallower than that of the field population in the solar neighborhood. The slope $alpha=-1.69pm0.14$ from 0.3~$M_odot$ to 0.06~$M_odot$, the lowest mass in our sample. The cluster is mass segregated and has a shape elongated toward the Galactic plane. Our list contains nine substellar members, including three new discoveries of an M8, an L1 and an L4 brown dwarfs, extending from the previously known coolest members of late-M types to even cooler types.
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