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56393900676 = 22347921672
BaseRepresentation
bin110100100001010101…
…101010001010000100
312101120012001222110000
4310201111222022010
51410443314310201
641523525001300
74034331150411
oct644125521204
9171505058400
1056393900676
1121a09983293
12ab1a253230
135419622ac9
142a2d997108
151700d88d86
hexd2156a284

56393900676 has 135 divisors (see below), whose sum is σ = 150214007559. Its totient is φ = 18448880112.

The previous prime is 56393900611. The next prime is 56393900677. The reversal of 56393900676 is 67600939365.

It is a happy number.

The square root of 56393900676 is 237474.

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

56393900676 is a `hidden beast` number, since 563 + 9 + 3 + 9 + 0 + 0 + 6 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (56393900677) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 337687945 + ... + 337688111.

Almost surely, 256393900676 is an apocalyptic number.

56393900676 is the 237474-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56393900676

56393900676 is an abundant number, since it is smaller than the sum of its proper divisors (93820106883).

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

56393900676 is an equidigital number, since it uses as much as digits as its factorization.

56393900676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The spelling of 56393900676 in words is "fifty-six billion, three hundred ninety-three million, nine hundred thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 167 237 316 324 334 474 501 668 711 948 1002 1422 1503 2004 2133 2844 3006 4266 4509 6012 6241 6399 8532 9018 12482 12798 13193 13527 18036 18723 24964 25596 26386 27054 27889 37446 39579 52772 54108 55778 56169 74892 79158 83667 111556 112338 118737 158316 167334 168507 224676 237474 251001 334668 337014 356211 474948 502002 505521 674028 712422 753003 1004004 1011042 1042247 1068633 1424844 1506006 2022084 2084494 2137266 2203231 2259009 3012012 3126741 4168988 4274532 4406462 4518018 6253482 6609693 8812924 9036036 9380223 12506964 13219386 18760446 19829079 26438772 28140669 37520892 39658158 56281338 59487237 79316316 84422007 112562676 118974474 168844014 174055249 178461711 237948948 337688028 348110498 356923422 522165747 696220996 713846844 1044331494 1566497241 2088662988 3132994482 4699491723 6265988964 9398983446 14098475169 18797966892 28196950338 56393900676