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56565116112 = 2437919337717
BaseRepresentation
bin110100101011100010…
…110010110011010000
312102000010020121212110
4310223202302303100
51411321132203422
641552522425320
74041510360651
oct645342626320
9172003217773
1056565116112
1121a97595a4a
12ab67662240
135445c3c40b
142a48605528
151710e0960c
hexd2b8b2cd0

56565116112 has 80 divisors (see below), whose sum is σ = 148071991040. Its totient is φ = 18604325376.

The previous prime is 56565115979. The next prime is 56565116143. The reversal of 56565116112 is 21161156565.

It is a super-2 number, since 2×565651161122 (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 15 ways as a sum of consecutive naturals, for example, 7326078 + ... + 7333794.

It is an arithmetic number, because the mean of its divisors is an integer number (1850899888).

Almost surely, 256565116112 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 56565116112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74035995520).

56565116112 is an abundant number, since it is smaller than the sum of its proper divisors (91506874928).

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

56565116112 is a wasteful number, since it uses less digits than its factorization.

56565116112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9740 (or 9734 counting only the distinct ones).

The product of its digits is 54000, while the sum is 39.

The spelling of 56565116112 in words is "fifty-six billion, five hundred sixty-five million, one hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 1933 3792 3866 5799 7717 7732 11598 15434 15464 23151 23196 30868 30928 46302 46392 61736 92604 92784 123472 152707 185208 305414 370416 458121 609643 610828 916242 1219286 1221656 1828929 1832484 2438572 2443312 3657858 3664968 4877144 7315716 7329936 9754288 14631432 14916961 29262864 29833922 44750883 59667844 89501766 119335688 179003532 238671376 358007064 716014128 1178439919 2356879838 3535319757 4713759676 7070639514 9427519352 14141279028 18855038704 28282558056 56565116112