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557472368931408 = 243273111778289341
BaseRepresentation
bin111111011000001001010011…
…0100001011011001001010000
32201002211211121220011212210100
41332300102212201123021100
51041032111402421301113
65253351134254132400
7225265022663464410
oct17660224641331120
92632754556155710
10557472368931408
1115169a781a94917
1252635a684b1100
131ac0a55a1c6408
149b93b41528640
15446b207c01d73
hex1fb04a685b250

557472368931408 has 120 divisors (see below), whose sum is σ = 1788759909645696. Its totient is φ = 158765672275200.

The previous prime is 557472368931367. The next prime is 557472368931409. The reversal of 557472368931408 is 804139863274755.

557472368931408 is a `hidden beast` number, since 5 + 5 + 7 + 4 + 72 + 3 + 68 + 93 + 1 + 408 = 666.

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 (557472368931409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 888831183 + ... + 889458158.

It is a 1-persistent number, because it is pandigital, but 2⋅557472368931408 = 1114944737862816 is not.

Almost surely, 2557472368931408 is an apocalyptic number.

It is an amenable number.

557472368931408 is an abundant number, since it is smaller than the sum of its proper divisors (1231287540714288).

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

557472368931408 is a wasteful number, since it uses less digits than its factorization.

557472368931408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778289673 (or 1778289664 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 557472368931408 in words is "five hundred fifty-seven trillion, four hundred seventy-two billion, three hundred sixty-eight million, nine hundred thirty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 311 336 504 622 933 1008 1244 1866 2177 2488 2799 3732 4354 4976 5598 6531 7464 8708 11196 13062 14928 17416 19593 22392 26124 34832 39186 44784 52248 78372 104496 156744 313488 1778289341 3556578682 5334868023 7113157364 10669736046 12448025387 14226314728 16004604069 21339472092 24896050774 28452629456 32009208138 37344076161 42678944184 49792101548 64018416276 74688152322 85357888368 99584203096 112032228483 128036832552 149376304644 199168406192 224064456966 256073665104 298752609288 448128913932 553047985051 597505218576 896257827864 1106095970102 1659143955153 1792515655728 2212191940204 3318287910306 3871335895357 4424383880408 4977431865459 6636575820612 7742671790714 8848767760816 9954863730918 11614007686071 13273151641224 15485343581428 19909727461836 23228015372142 26546303282448 30970687162856 34842023058213 39819454923672 46456030744284 61941374325712 69684046116426 79638909847344 92912061488568 139368092232852 185824122977136 278736184465704 557472368931408