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104664625006536 = 23327832502022973
BaseRepresentation
bin10111110011000100100001…
…110010110100011111001000
3111201120211200200012202200200
4113303010201302310133020
5102204311123000202121
61010334133121132200
731021524656404230
oct2763044162643710
9451524620182620
10104664625006536
1130393022240251
12b8a485718a060
134652aa75904ca
141bbbb1b214cc0
15c17878dcca26
hex5f3121cb47c8

104664625006536 has 96 divisors (see below), whose sum is σ = 327865090512960. Its totient is φ = 29543887253376.

The previous prime is 104664625006499. The next prime is 104664625006553. The reversal of 104664625006536 is 635600526466401.

104664625006536 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 6 + 4 + 625 + 0 + 0 + 6 + 5 + 3 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1250969655 + ... + 1251053318.

It is an arithmetic number, because the mean of its divisors is an integer number (3415261359510).

Almost surely, 2104664625006536 is an apocalyptic number.

It is an amenable number.

104664625006536 is an abundant number, since it is smaller than the sum of its proper divisors (223200465506424).

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

104664625006536 is a wasteful number, since it uses less digits than its factorization.

104664625006536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502023075 (or 2502023068 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 104664625006536 in words is "one hundred four trillion, six hundred sixty-four billion, six hundred twenty-five million, six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 83 84 126 166 168 249 252 332 498 504 581 664 747 996 1162 1494 1743 1992 2324 2988 3486 4648 5229 5976 6972 10458 13944 20916 41832 2502022973 5004045946 7506068919 10008091892 15012137838 17514160811 20016183784 22518206757 30024275676 35028321622 45036413514 52542482433 60048551352 70056643244 90072827028 105084964866 140113286488 157627447299 180145654056 207667906759 210169929732 315254894598 415335813518 420339859464 623003720277 630509789196 830671627036 1246007440554 1261019578392 1453675347313 1661343254072 1869011160831 2492014881108 2907350694626 3738022321662 4361026041939 4984029762216 5814701389252 7476044643324 8722052083878 11629402778504 13083078125817 14952089286648 17444104167756 26166156251634 34888208335512 52332312503268 104664625006536