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104656099680 = 25335112202359
BaseRepresentation
bin110000101110111111…
…1010101100101100000
3101000010122220201021000
41201131333111211200
53203313430142210
6120024531232000
710363322112066
oct1413577254540
9330118821230
10104656099680
1140425704770
1218349148600
139b3b33c602
1450cb5a2036
152ac7daeac0
hex185dfd5960

104656099680 has 192 divisors, whose sum is σ = 399596198400. Its totient is φ = 25371164160.

The previous prime is 104656099661. The next prime is 104656099693. The reversal of 104656099680 is 86990656401.

It is a happy number.

104656099680 is a `hidden beast` number, since 10 + 4 + 6 + 560 + 9 + 9 + 68 + 0 = 666.

It is a super-2 number, since 2×1046560996802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1053660 + ... + 1148699.

It is an arithmetic number, because the mean of its divisors is an integer number (2081230200).

Almost surely, 2104656099680 is an apocalyptic number.

104656099680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104656099680 is an abundant number, since it is smaller than the sum of its proper divisors (294940098720).

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

104656099680 is a wasteful number, since it uses less digits than its factorization.

104656099680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202394 (or 2202380 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 104656099680 in words is "one hundred four billion, six hundred fifty-six million, ninety-nine thousand, six hundred eighty".