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13123327392 = 253272929941
BaseRepresentation
bin11000011100011011…
…00001010110100000
31020212120212002211200
430032031201112200
5203334032434032
610010114241200
7643131304500
oct141615412640
936776762750
1013123327392
11562485a11a
122662b86200
131311ac22a6
148c6cada00
1551c1b347c
hex30e3615a0

13123327392 has 108 divisors (see below), whose sum is σ = 43412482386. Its totient is φ = 3749518080.

The previous prime is 13123327381. The next prime is 13123327411. The reversal of 13123327392 is 29372332131.

13123327392 is a `hidden beast` number, since 1 + 31 + 233 + 2 + 7 + 392 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11942992656 + 1180334736 = 109284^2 + 34356^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 450859 + ... + 479082.

Almost surely, 213123327392 is an apocalyptic number.

13123327392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13123327392 is an abundant number, since it is smaller than the sum of its proper divisors (30289154994).

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

13123327392 is a wasteful number, since it uses less digits than its factorization.

13123327392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929971 (or 929953 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The spelling of 13123327392 in words is "thirteen billion, one hundred twenty-three million, three hundred twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 929941 1859882 2789823 3719764 5579646 6509587 7439528 8369469 11159292 13019174 14879056 16738938 19528761 22318584 26038348 29758112 33477876 39057522 44637168 45567109 52076696 58586283 66955752 78115044 89274336 91134218 104153392 117172566 133911504 136701327 156230088 182268436 208306784 234345132 267823008 273402654 312460176 364536872 410103981 468690264 546805308 624920352 729073744 820207962 937380528 1093610616 1458147488 1640415924 1874761056 2187221232 3280831848 4374442464 6561663696 13123327392