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56394661680 = 243257174315307
BaseRepresentation
bin110100100001011000…
…100011111100110000
312101120020111122100100
4310201120203330300
51410444013133210
641523553152400
74034340500160
oct644130437460
9171506448310
1056394661680
1121a0a353015
12ab1a55b700
13541982b2c6
142a2db145a0
151700e895c0
hexd21623f30

56394661680 has 480 divisors, whose sum is σ = 234525417984. Its totient is φ = 11849048064.

The previous prime is 56394661649. The next prime is 56394661759. The reversal of 56394661680 is 8616649365.

56394661680 is a `hidden beast` number, since 563 + 9 + 4 + 66 + 16 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3676587 + ... + 3691893.

Almost surely, 256394661680 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 56394661680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117262708992).

56394661680 is an abundant number, since it is smaller than the sum of its proper divisors (178130756304).

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

56394661680 is a wasteful number, since it uses less digits than its factorization.

56394661680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15393 (or 15384 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 56394661680 in words is "fifty-six billion, three hundred ninety-four million, six hundred sixty-one thousand, six hundred eighty".