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156930793992 = 233271727314759
BaseRepresentation
bin1001001000100111001…
…1011110001000001000
3120000001202222022212100
42102021303132020020
510032343240401432
6200032031313400
714223614511510
oct2221163361010
9500052868770
10156930793992
1160610384275
12264b797b860
1311a4c4340ab
14784a054840
1541372c807c
hex2489cde208

156930793992 has 288 divisors, whose sum is σ = 523095580800. Its totient is φ = 41618976768.

The previous prime is 156930793969. The next prime is 156930794011. The reversal of 156930793992 is 299397039651.

156930793992 is a `hidden beast` number, since 1 + 569 + 30 + 7 + 9 + 39 + 9 + 2 = 666.

It is a super-3 number, since 3×1569307939923 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10625509 + ... + 10640267.

It is an arithmetic number, because the mean of its divisors is an integer number (1816304100).

Almost surely, 2156930793992 is an apocalyptic number.

156930793992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156930793992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261547790400).

156930793992 is an abundant number, since it is smaller than the sum of its proper divisors (366164786808).

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

156930793992 is a wasteful number, since it uses less digits than its factorization.

156930793992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14885 (or 14861 counting only the distinct ones).

The product of its (nonzero) digits is 24800580, while the sum is 63.

The spelling of 156930793992 in words is "one hundred fifty-six billion, nine hundred thirty million, seven hundred ninety-three thousand, nine hundred ninety-two".