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102655805664 = 2531397693031
BaseRepresentation
bin101111110011011000…
…0110100100011100000
3100210222021000020201110
41133212300310203200
53140214341240124
6115054234103320
710262622644106
oct1374660644340
9323867006643
10102655805664
113a599587215
1217a8b27ab40
1398acac1499
144d7ba6bc76
152a0c490029
hex17e6c348e0

102655805664 has 48 divisors (see below), whose sum is σ = 271410168960. Its totient is φ = 33972420480.

The previous prime is 102655805663. The next prime is 102655805687. The reversal of 102655805664 is 466508556201.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102655805663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3833172 + ... + 3859859.

It is an arithmetic number, because the mean of its divisors is an integer number (5654378520).

Almost surely, 2102655805664 is an apocalyptic number.

It is an amenable number.

102655805664 is an abundant number, since it is smaller than the sum of its proper divisors (168754363296).

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

102655805664 is a wasteful number, since it uses less digits than its factorization.

102655805664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7693183 (or 7693175 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 102655805664 in words is "one hundred two billion, six hundred fifty-five million, eight hundred five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 3336 4448 6672 13344 7693031 15386062 23079093 30772124 46158186 61544248 92316372 123088496 184632744 246176992 369265488 738530976 1069331309 2138662618 3207993927 4277325236 6415987854 8554650472 12831975708 17109300944 25663951416 34218601888 51327902832 102655805664