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13163910432 = 253314423357
BaseRepresentation
bin11000100001010000…
…10101010100100000
31020222102012221022020
430100220111110200
5203424430113212
610014124141440
7644133251421
oct142050252440
936872187266
1013163910432
115645758822
122674697880
13131a33131a
148cc435648
15520a2cd8c
hex310a15520

13163910432 has 48 divisors (see below), whose sum is σ = 35669958912. Its totient is φ = 4246421760.

The previous prime is 13163910371. The next prime is 13163910433. The reversal of 13163910432 is 23401936131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 13163910393 and 13163910402.

It is not an unprimeable number, because it can be changed into a prime (13163910433) 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 7 ways as a sum of consecutive naturals, for example, 2208703 + ... + 2214654.

It is an arithmetic number, because the mean of its divisors is an integer number (743124144).

Almost surely, 213163910432 is an apocalyptic number.

13163910432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13163910432 is an abundant number, since it is smaller than the sum of its proper divisors (22506048480).

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

13163910432 is a wasteful number, since it uses less digits than its factorization.

13163910432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4423401 (or 4423393 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 13163910432 in words is "thirteen billion, one hundred sixty-three million, nine hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 4423357 8846714 13270071 17693428 26540142 35386856 53080284 70773712 106160568 137124067 141547424 212321136 274248134 411372201 424642272 548496268 822744402 1096992536 1645488804 2193985072 3290977608 4387970144 6581955216 13163910432