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13137108480 = 293254113907
BaseRepresentation
bin11000011110000100…
…00101111000000000
31020220112210020221100
430033002011320000
5203401044432410
610011325454400
7643356402546
oct141702057000
936815706840
1013137108480
115631612051
122667711400
131314908b92
148c8a59d96
1551d4d68c0
hex30f085e00

13137108480 has 240 divisors, whose sum is σ = 46610547984. Its totient is φ = 3417538560.

The previous prime is 13137108451. The next prime is 13137108533. The reversal of 13137108480 is 8480173131.

13137108480 is a `hidden beast` number, since 131 + 37 + 10 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 937687 + ... + 951593.

Almost surely, 213137108480 is an apocalyptic number.

13137108480 is a gapful number since it is divisible by the number (10) 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 13137108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23305273992).

13137108480 is an abundant number, since it is smaller than the sum of its proper divisors (33473439504).

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

13137108480 is a wasteful number, since it uses less digits than its factorization.

13137108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13977 (or 13958 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 13137108480 in words is "thirteen billion, one hundred thirty-seven million, one hundred eight thousand, four hundred eighty".