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157656323916 = 2233713107149921
BaseRepresentation
bin1001001011010100001…
…1001001011101001100
3120001221100012001211000
42102311003021131030
510040340004331131
6200232030100300
714250604433220
oct2226503113514
9501840161730
10157656323916
1160952980683
122667a94a690
1311b36841940
1478b8556780
15417ad3ece6
hex24b50c974c

157656323916 has 192 divisors, whose sum is σ = 507767823360. Its totient is φ = 41190819840.

The previous prime is 157656323857. The next prime is 157656323941. The reversal of 157656323916 is 619323656751.

157656323916 is a `hidden beast` number, since 1 + 5 + 76 + 563 + 2 + 3 + 9 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 976636 + ... + 1126556.

It is an arithmetic number, because the mean of its divisors is an integer number (2644624080).

Almost surely, 2157656323916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157656323916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253883911680).

157656323916 is an abundant number, since it is smaller than the sum of its proper divisors (350111499444).

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

157656323916 is a wasteful number, since it uses less digits than its factorization.

157656323916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150061 (or 150053 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The spelling of 157656323916 in words is "one hundred fifty-seven billion, six hundred fifty-six million, three hundred twenty-three thousand, nine hundred sixteen".