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12793021992 = 233261113149173
BaseRepresentation
bin10111110101000011…
…00000011000101000
31020000120022212000100
423322201200120220
5202200003200432
65513234505400
7632010615132
oct137241403050
936016285010
1012793021992
115475366853
122590435260
13128b5434ca
1489508c052
154ed1ba07c
hex2fa860628

12793021992 has 192 divisors, whose sum is σ = 35972586000. Its totient is φ = 4105543680.

The previous prime is 12793021957. The next prime is 12793022017. The reversal of 12793021992 is 29912039721.

It can be written as a sum of positive squares in 8 ways, for example, as 406667556 + 12386354436 = 20166^2 + 111294^2 .

It is a super-2 number, since 2×127930219922 (a number of 21 digits) contains 22 as substring.

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, 73948018 + ... + 73948190.

Almost surely, 212793021992 is an apocalyptic number.

12793021992 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 12793021992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17986293000).

12793021992 is an abundant number, since it is smaller than the sum of its proper divisors (23179564008).

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

12793021992 is a wasteful number, since it uses less digits than its factorization.

12793021992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 12793021992 in words is "twelve billion, seven hundred ninety-three million, twenty-one thousand, nine hundred ninety-two".