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13130261376 = 27334193389
BaseRepresentation
bin11000011101001111…
…11110001110000000
31020220001220101110220
430032213332032000
5203342321331001
610010523023040
7643244244261
oct141647761600
936801811426
1013130261376
115628765791
12266536aa80
13131337c43b
148c7b96968
1551cad2c36
hex30e9fe380

13130261376 has 32 divisors (see below), whose sum is σ = 34877257800. Its totient is φ = 4376753664.

The previous prime is 13130261371. The next prime is 13130261471. The reversal of 13130261376 is 67316203131.

13130261376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130261371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17096311 + ... + 17097078.

Almost surely, 213130261376 is an apocalyptic number.

13130261376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13130261376 is an abundant number, since it is smaller than the sum of its proper divisors (21746996424).

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

13130261376 is an equidigital number, since it uses as much as digits as its factorization.

13130261376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34193406 (or 34193394 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The spelling of 13130261376 in words is "thirteen billion, one hundred thirty million, two hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 34193389 68386778 102580167 136773556 205160334 273547112 410320668 547094224 820641336 1094188448 1641282672 2188376896 3282565344 4376753792 6565130688 13130261376