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13723680260 = 225739399781
BaseRepresentation
bin11001100011111111…
…01011111000000100
31022102102112012011002
430301333223320010
5211101230232020
610145442032432
7664041233423
oct146177537004
938372465132
1013723680260
115902729114
1227b0048718
1313a92b2684
149429092ba
15554c50975
hex331febe04

13723680260 has 24 divisors (see below), whose sum is σ = 29214522456. Its totient is φ = 5414273280.

The previous prime is 13723680233. The next prime is 13723680281. The reversal of 13723680260 is 6208632731.

It can be written as a sum of positive squares in 4 ways, for example, as 4643877316 + 9079802944 = 68146^2 + 95288^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4698431 + ... + 4701350.

It is an arithmetic number, because the mean of its divisors is an integer number (1217271769).

Almost surely, 213723680260 is an apocalyptic number.

13723680260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13723680260 is an abundant number, since it is smaller than the sum of its proper divisors (15490842196).

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

13723680260 is a wasteful number, since it uses less digits than its factorization.

13723680260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9399863 (or 9399861 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 13723680260 in words is "thirteen billion, seven hundred twenty-three million, six hundred eighty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 9399781 18799562 37599124 46998905 93997810 187995620 686184013 1372368026 2744736052 3430920065 6861840130 13723680260