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13164400992 = 253137129177
BaseRepresentation
bin11000100001010100…
…01101000101100000
31020222110010212020010
430100222031011200
5203430041312432
610014142444520
7644140363551
oct142052150540
936873125203
1013164400992
115645a63346
122674893740
13131a4736b2
148cc522328
15520ac83cc
hex310a8d160

13164400992 has 24 divisors (see below), whose sum is σ = 34556552856. Its totient is φ = 4388133632.

The previous prime is 13164400927. The next prime is 13164401039. The reversal of 13164400992 is 29900446131.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13164400992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68564493 + ... + 68564684.

It is an arithmetic number, because the mean of its divisors is an integer number (1439856369).

Almost surely, 213164400992 is an apocalyptic number.

13164400992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13164400992 is an abundant number, since it is smaller than the sum of its proper divisors (21392151864).

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

13164400992 is a wasteful number, since it uses less digits than its factorization.

13164400992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137129190 (or 137129182 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 13164400992 in words is "thirteen billion, one hundred sixty-four million, four hundred thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137129177 274258354 411387531 548516708 822775062 1097033416 1645550124 2194066832 3291100248 4388133664 6582200496 13164400992