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13008860832 = 25311293171193
BaseRepresentation
bin11000001110110001…
…10111011010100000
31020120121110121020110
430013120313122200
5203120232021312
65550505011320
7640241330652
oct140730673240
936517417213
1013008860832
115576187760
122630783b40
1312c4184bb6
148b59d46d2
1551210243c
hex3076376a0

13008860832 has 384 divisors, whose sum is σ = 40549662720. Its totient is φ = 3612672000.

The previous prime is 13008860827. The next prime is 13008860867. The reversal of 13008860832 is 23806880031.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67403328 + ... + 67403520.

It is an arithmetic number, because the mean of its divisors is an integer number (105598080).

Almost surely, 213008860832 is an apocalyptic number.

13008860832 is a gapful number since it is divisible by the number (12) 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 13008860832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20274831360).

13008860832 is an abundant number, since it is smaller than the sum of its proper divisors (27540801888).

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

13008860832 is a wasteful number, since it uses less digits than its factorization.

13008860832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 13008860832 in words is "thirteen billion, eight million, eight hundred sixty thousand, eight hundred thirty-two".