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56857012992 = 2834131719653
BaseRepresentation
bin110100111100111100…
…010010101100000000
312102202110111112010000
4310330330102230000
51412420343403432
642041511040000
74051653431163
oct647474225400
9172673445100
1056857012992
112212733543a
12b029370000
135491560b70
142a752a9ada
15172b86757c
hexd3cf12b00

56857012992 has 720 divisors, whose sum is σ = 203804868960. Its totient is φ = 15574892544.

The previous prime is 56857012987. The next prime is 56857013029. The reversal of 56857012992 is 29921075865.

56857012992 is a `hidden beast` number, since 5 + 68 + 570 + 1 + 2 + 9 + 9 + 2 = 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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87070138 + ... + 87070790.

It is an arithmetic number, because the mean of its divisors is an integer number (283062318).

Almost surely, 256857012992 is an apocalyptic number.

56857012992 is a gapful number since it is divisible by the number (52) 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 56857012992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101902434480).

56857012992 is an abundant number, since it is smaller than the sum of its proper divisors (146947855968).

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

56857012992 is a wasteful number, since it uses less digits than its factorization.

56857012992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 56857012992 in words is "fifty-six billion, eight hundred fifty-seven million, twelve thousand, nine hundred ninety-two".