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56697061544640 = 26335113797166219
BaseRepresentation
bin11001110010000110100000…
…01101101001001011000000
321102202012000200222012211000
430321003100031221023000
524412411040223412030
6320330134232252000
714641141016332506
oct1471032015511300
9242665020865730
1056697061544640
111707a0a8175130
12643832b241000
13258368250650a
14100021c356676
15684c49c16860
hex3390d03692c0

56697061544640 has 896 divisors, whose sum is σ = 226406639692800. Its totient is φ = 13235314360320.

The previous prime is 56697061544639. The next prime is 56697061544693. The reversal of 56697061544640 is 4644516079665.

56697061544640 is a `hidden beast` number, since 5 + 6 + 6 + 9 + 7 + 0 + 615 + 4 + 4 + 6 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 341015451 + ... + 341181669.

It is an arithmetic number, because the mean of its divisors is an integer number (252685981800).

Almost surely, 256697061544640 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 56697061544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113203319846400).

56697061544640 is an abundant number, since it is smaller than the sum of its proper divisors (169709578148160).

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

56697061544640 is a wasteful number, since it uses less digits than its factorization.

56697061544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166390 (or 166374 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 56697061544640 in words is "fifty-six trillion, six hundred ninety-seven billion, sixty-one million, five hundred forty-four thousand, six hundred forty".