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428385793176 = 23341125463547
BaseRepresentation
bin1100011101111011100…
…10000111010010011000
31111221201221110001220000
412032331302013102120
524004313230340201
6524444150133000
742643541106345
oct6167562072230
91457657401800
10428385793176
1115574a680a00
126b035651160
1331520465073
1416a3c0997cc
15b223968d86
hex63bdc87498

428385793176 has 120 divisors (see below), whose sum is σ = 1318873169460. Its totient is φ = 129813852960.

The previous prime is 428385793153. The next prime is 428385793177. The reversal of 428385793176 is 671397583824.

428385793176 is a `hidden beast` number, since 4 + 28 + 3 + 8 + 579 + 31 + 7 + 6 = 666.

428385793176 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428385793177) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2653366 + ... + 2810181.

Almost surely, 2428385793176 is an apocalyptic number.

It is an amenable number.

428385793176 is an abundant number, since it is smaller than the sum of its proper divisors (890487376284).

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

428385793176 is a wasteful number, since it uses less digits than its factorization.

428385793176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5463587 (or 5463563 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 428385793176 in words is "four hundred twenty-eight billion, three hundred eighty-five million, seven hundred ninety-three thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 121 132 162 198 216 242 264 297 324 363 396 484 594 648 726 792 891 968 1089 1188 1452 1782 2178 2376 2904 3267 3564 4356 6534 7128 8712 9801 13068 19602 26136 39204 78408 5463547 10927094 16390641 21854188 32781282 43708376 49171923 60099017 65562564 98343846 120198034 131125128 147515769 180297051 196687692 240396068 295031538 360594102 393375384 442547307 480792136 540891153 590063076 661089187 721188204 885094614 1081782306 1180126152 1322178374 1442376408 1622673459 1770189228 1983267561 2163564612 2644356748 3245346918 3540378456 3966535122 4327129224 4868020377 5288713496 5949802683 6490693836 7933070244 9736040754 11899605366 12981387672 15866140488 17849408049 19472081508 23799210732 35698816098 38944163016 47598421464 53548224147 71397632196 107096448294 142795264392 214192896588 428385793176