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104344680096 = 25321162131177
BaseRepresentation
bin110000100101101101…
…1010111011010100000
3100222022221220221220100
41201023123113122200
53202144214230341
6115534004342400
710352521101216
oct1411333273240
9328287827810
10104344680096
1140285940608
12182809a4a00
139abb973a77
14509c098cb6
152aaa8973b6
hex184b6d76a0

104344680096 has 72 divisors (see below), whose sum is σ = 296765236404. Its totient is φ = 34777451520.

The previous prime is 104344680071. The next prime is 104344680101. The reversal of 104344680096 is 690086443401.

104344680096 is a `hidden beast` number, since 1 + 0 + 43 + 446 + 80 + 0 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103002483600 + 1342196496 = 320940^2 + 36636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3331260 + ... + 3362436.

Almost surely, 2104344680096 is an apocalyptic number.

104344680096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104344680096 is an abundant number, since it is smaller than the sum of its proper divisors (192420556308).

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

104344680096 is a wasteful number, since it uses less digits than its factorization.

104344680096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42814 (or 42803 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 104344680096 in words is "one hundred four billion, three hundred forty-four million, six hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11621 23242 31177 34863 46484 62354 69726 92968 93531 104589 124708 139452 185936 187062 209178 249416 278904 280593 371872 374124 418356 498832 557808 561186 748248 836712 997664 1115616 1122372 1496496 1673424 2244744 2992992 3346848 4489488 8978976 362307917 724615834 1086923751 1449231668 2173847502 2898463336 3260771253 4347695004 5796926672 6521542506 8695390008 11593853344 13043085012 17390780016 26086170024 34781560032 52172340048 104344680096