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13254804160 = 2651315121101
BaseRepresentation
bin11000101100000110…
…00100001011000000
31021012202020211001121
430112003010023000
5204121212213120
610031132242024
7646315655623
oct142603041300
937182224047
1013254804160
115691a9a604
12269b010314
131333106cb0
148da535dba
155289d45aa
hex3160c42c0

13254804160 has 112 divisors (see below), whose sum is σ = 34217652672. Its totient is φ = 4861440000.

The previous prime is 13254804097. The next prime is 13254804169. The reversal of 13254804160 is 6140845231.

It is not an unprimeable number, because it can be changed into a prime (13254804169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617610 + ... + 638710.

It is an arithmetic number, because the mean of its divisors is an integer number (305514756).

Almost surely, 213254804160 is an apocalyptic number.

13254804160 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 13254804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17108826336).

13254804160 is an abundant number, since it is smaller than the sum of its proper divisors (20962848512).

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

13254804160 is a wasteful number, since it uses less digits than its factorization.

13254804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21282 (or 21272 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 13254804160 in words is "thirteen billion, two hundred fifty-four million, eight hundred four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 151 160 208 260 302 320 416 520 604 755 832 1040 1208 1510 1963 2080 2416 3020 3926 4160 4832 6040 7852 9664 9815 12080 15704 19630 21101 24160 31408 39260 42202 48320 62816 78520 84404 105505 125632 157040 168808 211010 274313 314080 337616 422020 548626 628160 675232 844040 1097252 1350464 1371565 1688080 2194504 2743130 3186251 3376160 4389008 5486260 6372502 6752320 8778016 10972520 12745004 15931255 17556032 21945040 25490008 31862510 41421263 43890080 50980016 63725020 82842526 87780160 101960032 127450040 165685052 203920064 207106315 254900080 331370104 414212630 509800160 662740208 828425260 1019600320 1325480416 1656850520 2650960832 3313701040 6627402080 13254804160