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104167232164992 = 2731272135975069
BaseRepresentation
bin10111101011110101010010…
…110111101101010010000000
3111122211021211111211102111110
4113223311102313231102000
5102123133442413234432
61005313433230243320
730640556056121613
oct2753652267552200
9448737744742443
10104167232164992
1130211090a17567
12b824383356540
134617c0a620a59
141ba1a1437817a
15c099670e0dcc
hex5ebd52ded480

104167232164992 has 64 divisors (see below), whose sum is σ = 278872905139200. Its totient is φ = 34449005896704.

The previous prime is 104167232164981. The next prime is 104167232165081. The reversal of 104167232164992 is 299461232761401.

It is a tau number, because it is divible by the number of its divisors (64).

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, 1067938767 + ... + 1068036302.

It is an arithmetic number, because the mean of its divisors is an integer number (4357389142800).

Almost surely, 2104167232164992 is an apocalyptic number.

104167232164992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104167232164992 is an abundant number, since it is smaller than the sum of its proper divisors (174705672974208).

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

104167232164992 is a wasteful number, since it uses less digits than its factorization.

104167232164992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135975213 (or 2135975201 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 104167232164992 in words is "one hundred four trillion, one hundred sixty-seven billion, two hundred thirty-two million, one hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 1016 1524 2032 3048 4064 6096 8128 12192 16256 24384 48768 2135975069 4271950138 6407925207 8543900276 12815850414 17087800552 25631700828 34175601104 51263401656 68351202208 102526803312 136702404416 205053606624 271268833763 273404808832 410107213248 542537667526 813806501289 820214426496 1085075335052 1627613002578 2170150670104 3255226005156 4340301340208 6510452010312 8680602680416 13020904020624 17361205360832 26041808041248 34722410721664 52083616082496 104167232164992