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56139034176 = 263517415179
BaseRepresentation
bin110100010010001001…
…011010111001000000
312100220102111102100000
4310102021122321000
51404433043043201
641442342200000
74025114626401
oct642211327100
9170812442300
1056139034176
1121899026315
12aa68a23000
1353a8898324
142a07bb19a8
1516d87e2d86
hexd1225ae40

56139034176 has 336 divisors, whose sum is σ = 181032546240. Its totient is φ = 17179361280.

The previous prime is 56139034169. The next prime is 56139034183. The reversal of 56139034176 is 67143093165.

It is a happy number.

56139034176 is a `hidden beast` number, since 5 + 61 + 390 + 34 + 176 = 666.

It is an interprime number because it is at equal distance from previous prime (56139034169) and next prime (56139034183).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10837155 + ... + 10842333.

It is an arithmetic number, because the mean of its divisors is an integer number (538787340).

Almost surely, 256139034176 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 56139034176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90516273120).

56139034176 is an abundant number, since it is smaller than the sum of its proper divisors (124893512064).

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

56139034176 is a wasteful number, since it uses less digits than its factorization.

56139034176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5264 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 56139034176 in words is "fifty-six billion, one hundred thirty-nine million, thirty-four thousand, one hundred seventy-six".