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12992596992 = 21034312163
BaseRepresentation
bin11000001100110101…
…10100110000000000
31020112110212022110000
430012122310300000
5203102101100432
65545124240000
7636653152344
oct140632646000
936473768400
1012992596992
115567a89471
122627240000
1312c09ac21b
148b379d624
1551098d57c
hex3066b4c00

12992596992 has 330 divisors, whose sum is σ = 40336323324. Its totient is φ = 4165447680.

The previous prime is 12992596957. The next prime is 12992596999. The reversal of 12992596992 is 29969529921.

12992596992 is a `hidden beast` number, since 1 + 299 + 259 + 6 + 9 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (12992596999) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 79709103 + ... + 79709265.

Almost surely, 212992596992 is an apocalyptic number.

12992596992 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 12992596992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20168161662).

12992596992 is an abundant number, since it is smaller than the sum of its proper divisors (27343726332).

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

12992596992 is an equidigital number, since it uses as much as digits as its factorization.

12992596992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 199 counting only the distinct ones).

The product of its digits is 14171760, while the sum is 63.

The spelling of 12992596992 in words is "twelve billion, nine hundred ninety-two million, five hundred ninety-six thousand, nine hundred ninety-two".