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56567656728 = 233211236746349
BaseRepresentation
bin110100101011101100…
…011111000100011000
312102000022000200221100
4310223230133010120
51411322310003403
641553053111400
74041541102002
oct645354370430
9172008020840
1056567656728
1121a98a70830
12ab68488560
13544661b93b
142a48aa7372
15171125c2a3
hexd2bb1f118

56567656728 has 192 divisors, whose sum is σ = 177005088000. Its totient is φ = 16151351040.

The previous prime is 56567656727. The next prime is 56567656741. The reversal of 56567656728 is 82765676565.

56567656728 is a `hidden beast` number, since 5 + 6 + 5 + 67 + 6 + 567 + 2 + 8 = 666.

56567656728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56567656727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1197298 + ... + 1243646.

It is an arithmetic number, because the mean of its divisors is an integer number (921901500).

Almost surely, 256567656728 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 56567656728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88502544000).

56567656728 is an abundant number, since it is smaller than the sum of its proper divisors (120437431272).

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

56567656728 is a wasteful number, since it uses less digits than its factorization.

56567656728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46462 (or 46455 counting only the distinct ones).

The product of its digits is 127008000, while the sum is 63.

The spelling of 56567656728 in words is "fifty-six billion, five hundred sixty-seven million, six hundred fifty-six thousand, seven hundred twenty-eight".