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14077852160 = 29517533137
BaseRepresentation
bin11010001110001101…
…01111101000000000
31100100002221222122212
431013012233220000
5212312412232120
610244533121252
71005601524521
oct150706575000
940302858585
1014077852160
115a74642769
12288a789228
131434799748
14977980848
15575db06c5
hex3471afa00

14077852160 has 80 divisors (see below), whose sum is σ = 33783871176. Its totient is φ = 5626134528.

The previous prime is 14077852157. The next prime is 14077852171. The reversal of 14077852160 is 6125877041.

It can be written as a sum of positive squares in 4 ways, for example, as 11973611776 + 2104240384 = 109424^2 + 45872^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 4486112 + ... + 4489248.

Almost surely, 214077852160 is an apocalyptic number.

14077852160 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 14077852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16891935588).

14077852160 is an abundant number, since it is smaller than the sum of its proper divisors (19706019016).

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

14077852160 is an equidigital number, since it uses as much as digits as its factorization.

14077852160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4913 (or 4897 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The spelling of 14077852160 in words is "fourteen billion, seventy-seven million, eight hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 1753 2560 3137 3506 6274 7012 8765 12548 14024 15685 17530 25096 28048 31370 35060 50192 56096 62740 70120 100384 112192 125480 140240 200768 224384 250960 280480 401536 448768 501920 560960 803072 897536 1003840 1121920 1606144 2007680 2243840 4015360 4487680 5499161 8030720 10998322 21996644 27495805 43993288 54991610 87986576 109983220 175973152 219966440 351946304 439932880 703892608 879865760 1407785216 1759731520 2815570432 3519463040 7038926080 14077852160