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157693473416268 = 22327576781853339
BaseRepresentation
bin100011110110101111011111…
…011101110110010001001100
3202200100100102022000100210100
4203312233133131312101030
5131132122213143310033
61315215214231411100
745133656163615326
oct4366573735662114
9680310368010710
10157693473416268
1146278476757249
121582a075223a90
1369cb57a4335ba
142ad2594c32616
151336e80c33513
hex8f6bdf77644c

157693473416268 has 72 divisors (see below), whose sum is σ = 399199957978640. Its totient is φ = 52487250238080.

The previous prime is 157693473416209. The next prime is 157693473416399. The reversal of 157693473416268 is 862614374396751.

157693473416268 is a `hidden beast` number, since 1 + 5 + 7 + 6 + 9 + 347 + 3 + 4 + 16 + 268 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 157693473416196 and 157693473416205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184369143 + ... + 185222481.

Almost surely, 2157693473416268 is an apocalyptic number.

157693473416268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

157693473416268 is an abundant number, since it is smaller than the sum of its proper divisors (241506484562372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157693473416268 is a wasteful number, since it uses less digits than its factorization.

157693473416268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860887 (or 860882 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 157693473416268 in words is "one hundred fifty-seven trillion, six hundred ninety-three billion, four hundred seventy-three million, four hundred sixteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 757 1514 2271 3028 4542 6781 6813 9084 13562 13626 20343 27124 27252 40686 61029 81372 122058 244116 853339 1706678 2560017 3413356 5120034 5133217 7680051 10240068 10266434 15360102 15399651 20532868 30720204 30799302 46198953 61598604 92397906 184795812 645977623 1291955246 1937932869 2583910492 3875865738 5786491759 5813798607 7751731476 11572983518 11627597214 17359475277 23145967036 23255194428 34718950554 52078425831 69437901108 104156851662 208313703324 4380374261563 8760748523126 13141122784689 17521497046252 26282245569378 39423368354067 52564491138756 78846736708134 157693473416268