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54454708944 = 2433971399349
BaseRepresentation
bin110010101101110000…
…001110101011010000
312012120001010211111000
4302231300032223100
51343010401141234
641003253222000
73635303250246
oct625560165320
9165501124430
1054454708944
1121104299899
12a678931900
13519a94958c
1428c820a796
15163a9d8899
hexcadc0ead0

54454708944 has 160 divisors (see below), whose sum is σ = 159069680000. Its totient is φ = 17833291776.

The previous prime is 54454708933. The next prime is 54454708961. The reversal of 54454708944 is 44980745445.

54454708944 is a `hidden beast` number, since 5 + 4 + 4 + 547 + 0 + 8 + 94 + 4 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 5819982 + ... + 5829330.

It is an arithmetic number, because the mean of its divisors is an integer number (994185500).

Almost surely, 254454708944 is an apocalyptic number.

54454708944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54454708944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79534840000).

54454708944 is an abundant number, since it is smaller than the sum of its proper divisors (104614971056).

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

54454708944 is a wasteful number, since it uses less digits than its factorization.

54454708944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9602 (or 9590 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 54454708944 in words is "fifty-four billion, four hundred fifty-four million, seven hundred eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 97 108 139 144 194 216 278 291 388 417 432 556 582 776 834 873 1112 1164 1251 1552 1668 1746 2224 2328 2502 2619 3336 3492 3753 4656 5004 5238 6672 6984 7506 9349 10008 10476 13483 13968 15012 18698 20016 20952 26966 28047 30024 37396 40449 41904 53932 56094 60048 74792 80898 84141 107864 112188 121347 149584 161796 168282 215728 224376 242694 252423 323592 336564 364041 448752 485388 504846 647184 673128 728082 906853 970776 1009692 1299511 1346256 1456164 1813706 1941552 2019384 2599022 2720559 2912328 3627412 3898533 4038768 5198044 5441118 5824656 7254824 7797066 8161677 10396088 10882236 11695599 14509648 15594132 16323354 20792176 21764472 23391198 24485031 31188264 32646708 35086797 43528944 46782396 48970062 62376528 65293416 70173594 93564792 97940124 126052567 130586832 140347188 187129584 195880248 252105134 280694376 378157701 391760496 504210268 561388752 756315402 1008420536 1134473103 1512630804 2016841072 2268946206 3025261608 3403419309 4537892412 6050523216 6806838618 9075784824 13613677236 18151569648 27227354472 54454708944