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12937796928 = 26347231253
BaseRepresentation
bin11000000110010011…
…10001110101000000
31020101122202011220000
430003021301311000
5202444034000203
65535445520000
7635416313400
oct140311616500
936348664800
1012937796928
11553a05a361
122610a13000
1312b2533054
148aa3b6800
1550ac664a3
hex303271d40

12937796928 has 630 divisors, whose sum is σ = 46968528618. Its totient is φ = 3509775360.

The previous prime is 12937796857. The next prime is 12937796929. The reversal of 12937796928 is 82969773921.

It can be written as a sum of positive squares in only one way, i.e., 11961359424 + 976437504 = 109368^2 + 31248^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (20575296) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12937796929) 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 89 ways as a sum of consecutive naturals, for example, 244109350 + ... + 244109402.

Almost surely, 212937796928 is an apocalyptic number.

12937796928 is a gapful number since it is divisible by the number (18) 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 12937796928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23484264309).

12937796928 is an abundant number, since it is smaller than the sum of its proper divisors (34030731690).

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

12937796928 is an equidigital number, since it uses as much as digits as its factorization.

12937796928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 96 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The spelling of 12937796928 in words is "twelve billion, nine hundred thirty-seven million, seven hundred ninety-six thousand, nine hundred twenty-eight".