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104560917696 = 2632597694001
BaseRepresentation
bin110000101100001010…
…0001111110011000000
3100222220000210222010100
41201120110033303000
53203120043331241
6120011251202400
710361055064434
oct1413024176300
9328800728110
10104560917696
1140386a04074
12183212a6400
139b246c4b01
1450bcaa69c4
152abe85c9b6
hex185850fcc0

104560917696 has 168 divisors, whose sum is σ = 305257352400. Its totient is φ = 34209792000.

The previous prime is 104560917631. The next prime is 104560917763. The reversal of 104560917696 is 696719065401.

It is a happy number.

104560917696 is a `hidden beast` number, since 1 + 0 + 4 + 560 + 9 + 1 + 76 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26131696 + ... + 26135696.

It is an arithmetic number, because the mean of its divisors is an integer number (1817008050).

Almost surely, 2104560917696 is an apocalyptic number.

104560917696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104560917696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152628676200).

104560917696 is an abundant number, since it is smaller than the sum of its proper divisors (200696434704).

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

104560917696 is a wasteful number, since it uses less digits than its factorization.

104560917696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 104560917696 in words is "one hundred four billion, five hundred sixty million, nine hundred seventeen thousand, six hundred ninety-six".