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56095704576 = 293317219739
BaseRepresentation
bin110100001111100100…
…001000011000000000
312100210101222001022000
4310033210020120000
51404341000021301
641434153344000
74024050423132
oct641744103000
9170711861260
1056095704576
112187662112a
12aa56408000
13539c907102
142a02133052
1516d4ad4786
hexd0f908600

56095704576 has 480 divisors, whose sum is σ = 185924112000. Its totient is φ = 16649846784.

The previous prime is 56095704569. The next prime is 56095704649. The reversal of 56095704576 is 67540759065.

56095704576 is a `hidden beast` number, since 5 + 60 + 9 + 5 + 7 + 0 + 4 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 75907215 + ... + 75907953.

It is an arithmetic number, because the mean of its divisors is an integer number (387341900).

Almost surely, 256095704576 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 56095704576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92962056000).

56095704576 is an abundant number, since it is smaller than the sum of its proper divisors (129828407424).

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

56095704576 is a wasteful number, since it uses less digits than its factorization.

56095704576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 56095704576 in words is "fifty-six billion, ninety-five million, seven hundred four thousand, five hundred seventy-six".