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56052115776 = 2633233747811
BaseRepresentation
bin110100001100111101…
…110110100101000000
312100200100221111201000
4310030331312211000
51404243320201101
641425555212000
74023011060106
oct641475664500
9170610844630
1056052115776
1121853a5a228
12aa438a7000
135393884c17
1429da427c76
1516d0d74486
hexd0cf76940

56052115776 has 448 divisors, whose sum is σ = 180574248960. Its totient is φ = 16997713920.

The previous prime is 56052115741. The next prime is 56052115829. The reversal of 56052115776 is 67751125065.

56052115776 is a `hidden beast` number, since 5 + 6 + 0 + 521 + 1 + 57 + 76 = 666.

It is a super-2 number, since 2×560521157762 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69114411 + ... + 69115221.

It is an arithmetic number, because the mean of its divisors is an integer number (403067520).

Almost surely, 256052115776 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 56052115776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90287124480).

56052115776 is an abundant number, since it is smaller than the sum of its proper divisors (124522133184).

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

56052115776 is a wasteful number, since it uses less digits than its factorization.

56052115776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 56052115776 in words is "fifty-six billion, fifty-two million, one hundred fifteen thousand, seven hundred seventy-six".