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Sublime Number

Let $\tau(n)$ and $\sigma(n)$ denote the number and sum of the divisors of $n$, respectively (i.e., the zeroth- and first-order Divisor Functions). A number $N$ is called sublime if $\tau(N)$ and $\sigma(N)$ are both Perfect Numbers. The only two known sublime numbers are 12 and
$ \cdots 22657830773351885970528324860512791691264.$
It is not known if any Odd sublime number exists.

See also Divisor Function, Perfect Number

© 1996-9 Eric W. Weisstein