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56837604096 = 283472132331
BaseRepresentation
bin110100111011110010…
…010000001100000000
312102201002222110010000
4310323302100030000
51412400411312341
642035535040000
74051326443400
oct647362201400
9172632873100
1056837604096
1122117389229
12b022970000
13548a526800
142a72896800
151729cd18b6
hexd3bc90300

56837604096 has 810 divisors, whose sum is σ = 214126441452. Its totient is φ = 14944849920.

The previous prime is 56837604079. The next prime is 56837604137. The reversal of 56837604096 is 69040673865.

56837604096 is a `hidden beast` number, since 568 + 3 + 76 + 0 + 4 + 0 + 9 + 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 polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 171714651 + ... + 171714981.

Almost surely, 256837604096 is an apocalyptic number.

56837604096 is a gapful number since it is divisible by the number (56) 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 56837604096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107063220726).

56837604096 is an abundant number, since it is smaller than the sum of its proper divisors (157288837356).

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

56837604096 is a wasteful number, since it uses less digits than its factorization.

56837604096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 56837604096 in words is "fifty-six billion, eight hundred thirty-seven million, six hundred four thousand, ninety-six".