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13312360992 = 2537236531319
BaseRepresentation
bin11000110010111101…
…01000001000100000
31021100202120000012010
430121132220020200
5204230431022432
610040550032520
7650615126040
oct143136501040
937322500163
1013312360992
115711531937
1226b6348740
131342009ba8
14904039720
1552daa33cc
hex3197a8220

13312360992 has 192 divisors, whose sum is σ = 41768939520. Its totient is φ = 3629835264.

The previous prime is 13312360991. The next prime is 13312361081. The reversal of 13312360992 is 29906321331.

It is a self number, because there is not a number n which added to its sum of digits gives 13312360992.

It is not an unprimeable number, because it can be changed into a prime (13312360991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10092109 + ... + 10093427.

It is an arithmetic number, because the mean of its divisors is an integer number (217546560).

Almost surely, 213312360992 is an apocalyptic number.

13312360992 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 13312360992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20884469760).

13312360992 is an abundant number, since it is smaller than the sum of its proper divisors (28456578528).

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

13312360992 is a wasteful number, since it uses less digits than its factorization.

13312360992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The spelling of 13312360992 in words is "thirteen billion, three hundred twelve million, three hundred sixty thousand, nine hundred ninety-two".