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55756685382912 = 283294372564369
BaseRepresentation
bin11001010110101110111010…
…11011010001010100000000
321022102021202021022121012100
430223113131123101110000
524302004142424223122
6314330133451430400
714513200433002653
oct1453273533212400
9238367667277170
1055756685382912
1116847306363438
126306029155400
132515aa9a81a67
14daa8d084589a
1566a55cb9caac
hex32b5dd6d1500

55756685382912 has 108 divisors (see below), whose sum is σ = 160777367330580. Its totient is φ = 18583585112064.

The previous prime is 55756685382899. The next prime is 55756685382913. The reversal of 55756685382912 is 21928358665755.

55756685382912 is a `hidden beast` number, since 5 + 5 + 7 + 5 + 6 + 68 + 538 + 29 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11267998822656 + 44488686560256 = 3356784^2 + 6669984^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55756685382913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20460664 + ... + 23025032.

It is an arithmetic number, because the mean of its divisors is an integer number (1488679327135).

Almost surely, 255756685382912 is an apocalyptic number.

It is an amenable number.

55756685382912 is an abundant number, since it is smaller than the sum of its proper divisors (105020681947668).

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

55756685382912 is a wasteful number, since it uses less digits than its factorization.

55756685382912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573828 (or 2573811 counting only the distinct ones).

The product of its digits is 1088640000, while the sum is 72.

The spelling of 55756685382912 in words is "fifty-five trillion, seven hundred fifty-six billion, six hundred eighty-five million, three hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 9437 18874 28311 37748 56622 75496 84933 113244 150992 169866 226488 301984 339732 452976 603968 679464 905952 1207936 1358928 1811904 2415872 2564369 2717856 3623808 5128738 5435712 7247616 7693107 10257476 10871424 15386214 20514952 21742848 23079321 30772428 41029904 46158642 61544856 82059808 92317284 123089712 164119616 184634568 246179424 328239232 369269136 492358848 656478464 738538272 984717696 1477076544 1969435392 2954153088 5908306176 24199950253 48399900506 72599850759 96799801012 145199701518 193599602024 217799552277 290399403036 387199204048 435599104554 580798806072 774398408096 871198209108 1161597612144 1548796816192 1742396418216 2323195224288 3097593632384 3484792836432 4646390448576 6195187264768 6969585672864 9292780897152 13939171345728 18585561794304 27878342691456 55756685382912