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56188435681 = 72338632
BaseRepresentation
bin110100010101000101…
…110111110011100001
312101000212110021110101
4310111011313303201
51410033214420211
641451305102401
74026254552200
oct642505676341
9171025407411
1056188435681
11219139a8404
12aa81487a01
1353b5ba41a1
142a10591237
1516dcd005c1
hexd15177ce1

56188435681 has 9 divisors (see below), whose sum is σ = 65363988081. Its totient is φ = 48160094052.

The previous prime is 56188435643. The next prime is 56188435687. The reversal of 56188435681 is 18653488165.

The square root of 56188435681 is 237041.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 56188435681 - 27 = 56188435553 is a prime.

It is a super-2 number, since 2×561884356812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56188435687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1642356 + ... + 1676218.

Almost surely, 256188435681 is an apocalyptic number.

56188435681 is the 237041-st square number.

56188435681 is the 118521-st centered octagonal number.

It is an amenable number.

56188435681 is a deficient number, since it is larger than the sum of its proper divisors (9175552400).

56188435681 is an frugal number, since it uses more digits than its factorization.

56188435681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67740 (or 33870 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 55.

The spelling of 56188435681 in words is "fifty-six billion, one hundred eighty-eight million, four hundred thirty-five thousand, six hundred eighty-one".

Divisors: 1 7 49 33863 237041 1659287 1146702769 8026919383 56188435681