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14792116960 = 255234393479
BaseRepresentation
bin11011100011010110…
…11100101011100000
31102011212222101202201
431301223130223200
5220243240220320
610443450222544
71032363630265
oct156153345340
942155871681
1014792116960
116300845455
122a49a24a54
13151976193a
14a0478d26c
155b894e70a
hex371adcae0

14792116960 has 96 divisors (see below), whose sum is σ = 37314224640. Its totient is φ = 5527915008.

The previous prime is 14792116957. The next prime is 14792117023. The reversal of 14792116960 is 6961129741.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 14792116960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111501 + ... + 204979.

It is an arithmetic number, because the mean of its divisors is an integer number (388689840).

Almost surely, 214792116960 is an apocalyptic number.

14792116960 is a gapful number since it is divisible by the number (10) 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 14792116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18657112320).

14792116960 is an abundant number, since it is smaller than the sum of its proper divisors (22522107680).

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

14792116960 is a wasteful number, since it uses less digits than its factorization.

14792116960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93560 (or 93552 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The spelling of 14792116960 in words is "fourteen billion, seven hundred ninety-two million, one hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 43 46 80 86 92 115 160 172 184 215 230 344 368 430 460 688 736 860 920 989 1376 1720 1840 1978 3440 3680 3956 4945 6880 7912 9890 15824 19780 31648 39560 79120 93479 158240 186958 373916 467395 747832 934790 1495664 1869580 2150017 2991328 3739160 4019597 4300034 7478320 8039194 8600068 10750085 14956640 16078388 17200136 20097985 21500170 32156776 34400272 40195970 43000340 64313552 68800544 80391940 86000680 92450731 128627104 160783880 172001360 184901462 321567760 344002720 369802924 462253655 643135520 739605848 924507310 1479211696 1849014620 2958423392 3698029240 7396058480 14792116960