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102554765664 = 2531382175293
BaseRepresentation
bin101111110000010111…
…1011000100101100000
3100210201012212212220020
41133200233120211200
53140013010000124
6115040224313440
710260255060621
oct1374057304540
9323635785806
10102554765664
113a54754538a
1217a61472880
139894ba54c0
144d6c489a48
152a03682379
hex17e0bd8960

102554765664 has 48 divisors (see below), whose sum is σ = 289914437232. Its totient is φ = 31555312128.

The previous prime is 102554765659. The next prime is 102554765701. The reversal of 102554765664 is 466567455201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41086399 + ... + 41088894.

It is an arithmetic number, because the mean of its divisors is an integer number (6039884109).

Almost surely, 2102554765664 is an apocalyptic number.

It is an amenable number.

102554765664 is an abundant number, since it is smaller than the sum of its proper divisors (187359671568).

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

102554765664 is a wasteful number, since it uses less digits than its factorization.

102554765664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82175319 (or 82175311 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 102554765664 in words is "one hundred two billion, five hundred fifty-four million, seven hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 82175293 164350586 246525879 328701172 493051758 657402344 986103516 1068278809 1314804688 1972207032 2136557618 2629609376 3204836427 3944414064 4273115236 6409672854 7888828128 8546230472 12819345708 17092460944 25638691416 34184921888 51277382832 102554765664