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13657000896 = 2633721123143
BaseRepresentation
bin11001011100000010…
…10100101111000000
31022020210001112021000
430232001110233000
5210432143012041
610135100532000
7662301410100
oct145601245700
938223045230
1013657000896
115879025a00
122791851000
131398537426
14937b0d200
1554de7dbb6
hex32e054bc0

13657000896 has 1008 divisors, whose sum is σ = 54224163840. Its totient is φ = 3353011200.

The previous prime is 13657000879. The next prime is 13657000897. The reversal of 13657000896 is 69800075631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13657000897) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 317604651 + ... + 317604693.

Almost surely, 213657000896 is an apocalyptic number.

13657000896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13657000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27112081920).

13657000896 is an abundant number, since it is smaller than the sum of its proper divisors (40567162944).

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

13657000896 is a wasteful number, since it uses less digits than its factorization.

13657000896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13657000896 in words is "thirteen billion, six hundred fifty-seven million, eight hundred ninety-six", and thus it is an aban number.