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56694680064 = 2932113373319
BaseRepresentation
bin110100110011010001…
…000010101000000000
312102100011001011012100
4310303101002220000
51412102314230224
642013431430400
74044642554301
oct646321025000
9172304034170
1056694680064
112205373a2a0
12aba2b25400
135466a34589
142a5b8d07a8
15171c49dac9
hexd33442a00

56694680064 has 240 divisors, whose sum is σ = 179083270080. Its totient is φ = 17124065280.

The previous prime is 56694680059. The next prime is 56694680113. The reversal of 56694680064 is 46008649665.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17080197 + ... + 17083515.

It is an arithmetic number, because the mean of its divisors is an integer number (746180292).

Almost surely, 256694680064 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 56694680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89541635040).

56694680064 is an abundant number, since it is smaller than the sum of its proper divisors (122388590016).

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

56694680064 is a wasteful number, since it uses less digits than its factorization.

56694680064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3691 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 56694680064 in words is "fifty-six billion, six hundred ninety-four million, six hundred eighty thousand, sixty-four".