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14678360576 = 29113770439
BaseRepresentation
bin11011010101110011…
…00000001000000000
31101212221220222100022
431222321200020000
5220030130014301
610424304113012
71026513002105
oct155271401000
941787828308
1014678360576
116252608610
122a17905768
1314cc012879
149d361aaac
155ad97dd1b
hex36ae60200

14678360576 has 80 divisors (see below), whose sum is σ = 32859414720. Its totient is φ = 6491566080.

The previous prime is 14678360549. The next prime is 14678360581. The reversal of 14678360576 is 67506387641.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

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, 173165 + ... + 243603.

It is an arithmetic number, because the mean of its divisors is an integer number (410742684).

Almost surely, 214678360576 is an apocalyptic number.

14678360576 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 14678360576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16429707360).

14678360576 is an abundant number, since it is smaller than the sum of its proper divisors (18181054144).

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

14678360576 is an equidigital number, since it uses as much as digits as its factorization.

14678360576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70505 (or 70489 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 53.

The spelling of 14678360576 in words is "fourteen billion, six hundred seventy-eight million, three hundred sixty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 352 407 512 592 704 814 1184 1408 1628 2368 2816 3256 4736 5632 6512 9472 13024 18944 26048 52096 70439 104192 140878 208384 281756 563512 774829 1127024 1549658 2254048 2606243 3099316 4508096 5212486 6198632 9016192 10424972 12397264 18032384 20849944 24794528 28668673 36064768 41699888 49589056 57337346 83399776 99178112 114674692 166799552 198356224 229349384 333599104 396712448 458698768 667198208 917397536 1334396416 1834795072 3669590144 7339180288 14678360576