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157353823008 = 25322831930627
BaseRepresentation
bin1001001010001100000…
…1001100101100100000
3120001011020222102120200
42102203001030230200
510034230034314013
6200142022305200
714240242266324
oct2224301145440
9501136872520
10157353823008
1160808149228
12265b5588200
1311ab8c79715
14788a2d1984
15415e4d9e73
hex24a304cb20

157353823008 has 72 divisors (see below), whose sum is σ = 449056350288. Its totient is φ = 52265907072.

The previous prime is 157353823001. The next prime is 157353823027. The reversal of 157353823008 is 800328353751.

157353823008 is a `hidden beast` number, since 1 + 573 + 53 + 8 + 23 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (157353823001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 883810 + ... + 1046817.

It is an arithmetic number, because the mean of its divisors is an integer number (6236893754).

Almost surely, 2157353823008 is an apocalyptic number.

157353823008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

157353823008 is an abundant number, since it is smaller than the sum of its proper divisors (291702527280).

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

157353823008 is a wasteful number, since it uses less digits than its factorization.

157353823008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930926 (or 1930915 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 157353823008 in words is "one hundred fifty-seven billion, three hundred fifty-three million, eight hundred twenty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 283 288 566 849 1132 1698 2264 2547 3396 4528 5094 6792 9056 10188 13584 20376 27168 40752 81504 1930627 3861254 5791881 7722508 11583762 15445016 17375643 23167524 30890032 34751286 46335048 61780064 69502572 92670096 139005144 185340192 278010288 546367441 556020576 1092734882 1639102323 2185469764 3278204646 4370939528 4917306969 6556409292 8741879056 9834613938 13112818584 17483758112 19669227876 26225637168 39338455752 52451274336 78676911504 157353823008