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56937149964 = 22334671128899
BaseRepresentation
bin110101000001101101…
…111111011000001100
312102222001021220101000
4311001231333120030
51413101402244324
642053452420300
74053645534522
oct650155773014
9172861256330
1056937149964
112216859a542
12b050177690
1354a503b6a6
142a81baa312
1517338e69c9
hexd41b7f60c

56937149964 has 48 divisors (see below), whose sum is σ = 147931056000. Its totient is φ = 18938392848.

The previous prime is 56937149963. The next prime is 56937149977. The reversal of 56937149964 is 46994173965.

56937149964 is a `hidden beast` number, since 56 + 9 + 37 + 1 + 499 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (56937149963) 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 15 ways as a sum of consecutive naturals, for example, 514014 + ... + 614885.

It is an arithmetic number, because the mean of its divisors is an integer number (3081897000).

Almost surely, 256937149964 is an apocalyptic number.

56937149964 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56937149964 is an abundant number, since it is smaller than the sum of its proper divisors (90993906036).

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

56937149964 is a wasteful number, since it uses less digits than its factorization.

56937149964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129379 (or 1129371 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 56937149964 in words is "fifty-six billion, nine hundred thirty-seven million, one hundred forty-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 467 934 1401 1868 2802 4203 5604 8406 12609 16812 25218 50436 1128899 2257798 3386697 4515596 6773394 10160091 13546788 20320182 30480273 40640364 60960546 121921092 527195833 1054391666 1581587499 2108783332 3163174998 4744762497 6326349996 9489524994 14234287491 18979049988 28468574982 56937149964