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13232980800 = 2633521323563
BaseRepresentation
bin11000101001011111…
…10100001101000000
31021011020012002001000
430110233310031000
5204100120341200
610025032412000
7645632323644
oct142457641500
937136162030
1013232980800
115680744376
122693847000
13132b735970
148d7694c24
15526b23300
hex314bf4340

13232980800 has 336 divisors, whose sum is σ = 51952022080. Its totient is φ = 3257210880.

The previous prime is 13232980769. The next prime is 13232980811. The reversal of 13232980800 is 808923231.

It is a happy number.

It is a super-2 number, since 2×132329808002 (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 549819 + ... + 573381.

Almost surely, 213232980800 is an apocalyptic number.

13232980800 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 13232980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25976011040).

13232980800 is an abundant number, since it is smaller than the sum of its proper divisors (38719041280).

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

13232980800 is a wasteful number, since it uses less digits than its factorization.

13232980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23607 (or 23586 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13232980800 in words is "thirteen billion, two hundred thirty-two million, nine hundred eighty thousand, eight hundred".