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20315513160 = 2332597581773
BaseRepresentation
bin10010111010111001…
…100010000101001000
31221102211012222221100
4102322321202011020
5313101232410120
613155515541400
71316303004225
oct227271420510
957384188840
1020315513160
1186856397a8
123b2b75a860
131bb9b77807
14daa17694c
157dd7e1490
hex4bae62148

20315513160 has 96 divisors (see below), whose sum is σ = 66706206840. Its totient is φ = 5361610752.

The previous prime is 20315513149. The next prime is 20315513171. The reversal of 20315513160 is 6131551302.

20315513160 is a `hidden beast` number, since 20 + 3 + 1 + 551 + 31 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (20315513149) and next prime (20315513171).

It can be written as a sum of positive squares in 4 ways, for example, as 9875986884 + 10439526276 = 99378^2 + 102174^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255967 + ... + 325806.

Almost surely, 220315513160 is an apocalyptic number.

20315513160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20315513160 is an abundant number, since it is smaller than the sum of its proper divisors (46390693680).

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

20315513160 is a wasteful number, since it uses less digits than its factorization.

20315513160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581887 (or 581880 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 20315513160 in words is "twenty billion, three hundred fifteen million, five hundred thirteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 120 180 194 291 360 388 485 582 776 873 970 1164 1455 1746 1940 2328 2910 3492 3880 4365 5820 6984 8730 11640 17460 34920 581773 1163546 1745319 2327092 2908865 3490638 4654184 5235957 5817730 6981276 8726595 10471914 11635460 13962552 17453190 20943828 23270920 26179785 34906380 41887656 52359570 56431981 69812760 104719140 112863962 169295943 209438280 225727924 282159905 338591886 451455848 507887829 564319810 677183772 846479715 1015775658 1128639620 1354367544 1692959430 2031551316 2257279240 2539439145 3385918860 4063102632 5078878290 6771837720 10157756580 20315513160