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56709885960 = 2332571319312939
BaseRepresentation
bin110100110100001011…
…000011000000001000
312102101012122200202200
4310310023003000020
51412120212322320
642015133400200
74045216035330
oct646413030010
9172335580680
1056709885960
1122061285752
12aba8039060
135469c29850
142a5d92c0c0
15171d9a4290
hexd342c3008

56709885960 has 768 divisors, whose sum is σ = 246564864000. Its totient is φ = 10966026240.

The previous prime is 56709885959. The next prime is 56709885971. The reversal of 56709885960 is 6958890765.

56709885960 is a `hidden beast` number, since 567 + 0 + 9 + 8 + 8 + 5 + 9 + 60 = 666.

It is a super-2 number, since 2×567098859602 (a number of 22 digits) contains 22 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 191 ways as a sum of consecutive naturals, for example, 19294171 + ... + 19297109.

It is an arithmetic number, because the mean of its divisors is an integer number (321048000).

Almost surely, 256709885960 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 56709885960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123282432000).

56709885960 is an abundant number, since it is smaller than the sum of its proper divisors (189854978040).

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

56709885960 is a wasteful number, since it uses less digits than its factorization.

56709885960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 56709885960 in words is "fifty-six billion, seven hundred nine million, eight hundred eighty-five thousand, nine hundred sixty".