Apocalyptic numbers are numbers of the form 2n containing the digits 666 in their decimal expansions. 2157 is the smallest apocalyptic number: 182687704666362864775460604089535377456991567872 2n is an apocalyptic number for n = 157, 192, 218, 220, 222, ... (OEIS A007356). These values of n become increasingly dense, and as \(n ightarrow \infty\), the probability of \(2^n\) being apocalyptic becomes 1. Thus, when sufficiently large, apocalyptic numbers cease to be interesting and non-apocalyptic powers of two become more of a novelty.