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56961474840 = 2332519371731301
BaseRepresentation
bin110101000011001010…
…110010000100011000
312110000202001201211100
4311003022302010120
51413124114143330
642100122031400
74054362355524
oct650312620430
9173022051740
1056961474840
11221802a4146
12b058348560
1354aa0a74ca
142a850dcd84
151735aee060
hexd432b2118

56961474840 has 384 divisors, whose sum is σ = 201446481600. Its totient is φ = 13909708800.

The previous prime is 56961474811. The next prime is 56961474841. The reversal of 56961474840 is 4847416965.

56961474840 is a `hidden beast` number, since 5 + 6 + 96 + 1 + 474 + 84 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56961474841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43782190 + ... + 43783490.

Almost surely, 256961474840 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 56961474840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100723240800).

56961474840 is an abundant number, since it is smaller than the sum of its proper divisors (144485006760).

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

56961474840 is a wasteful number, since it uses less digits than its factorization.

56961474840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 56961474840 in words is "fifty-six billion, nine hundred sixty-one million, four hundred seventy-four thousand, eight hundred forty".