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54358381728 = 2532726963483
BaseRepresentation
bin110010101000000000…
…110001010010100000
312012022022212220101100
4302220000301102200
51342311221203403
640545532434400
73633023423010
oct625000612240
9165268786340
1054358381728
1121064986822
12a650618a00
1351839c0721
1428b94d3c40
15163230c2a3
hexca80314a0

54358381728 has 72 divisors (see below), whose sum is σ = 176664747168. Its totient is φ = 15530965632.

The previous prime is 54358381709. The next prime is 54358381729. The reversal of 54358381728 is 82718385345.

54358381728 is a `hidden beast` number, since 5 + 43 + 583 + 8 + 17 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (54358381729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13479726 + ... + 13483757.

It is an arithmetic number, because the mean of its divisors is an integer number (2453677044).

Almost surely, 254358381728 is an apocalyptic number.

It is an amenable number.

54358381728 is an abundant number, since it is smaller than the sum of its proper divisors (122306365440).

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

54358381728 is a wasteful number, since it uses less digits than its factorization.

54358381728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26963506 (or 26963495 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 54358381728 in words is "fifty-four billion, three hundred fifty-eight million, three hundred eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 26963483 53926966 80890449 107853932 161780898 188744381 215707864 242671347 323561796 377488762 431415728 485342694 566233143 647123592 754977524 862831456 970685388 1132466286 1294247184 1509955048 1698699429 1941370776 2264932572 2588494368 3019910096 3397398858 3882741552 4529865144 6039820192 6794797716 7765483104 9059730288 13589595432 18119460576 27179190864 54358381728