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12943927296 = 2113217101409
BaseRepresentation
bin11000000111000010…
…01010100000000000
31020102002021122011200
430003201022200000
5203002121133141
65540225141200
7635522365236
oct140341124000
936362248150
1012943927296
115542567183
122612a8a800
1312b389b4a1
148ab130956
1550b577ab6
hex30384a800

12943927296 has 288 divisors, whose sum is σ = 40073178600. Its totient is φ = 4010803200.

The previous prime is 12943927267. The next prime is 12943927307. The reversal of 12943927296 is 69272934921.

12943927296 is a `hidden beast` number, since 12 + 94 + 392 + 72 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11872281600 + 1071645696 = 108960^2 + 32736^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31647540 + ... + 31647948.

Almost surely, 212943927296 is an apocalyptic number.

12943927296 is a gapful number since it is divisible by the number (16) 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 12943927296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20036589300).

12943927296 is an abundant number, since it is smaller than the sum of its proper divisors (27129251304).

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

12943927296 is a wasteful number, since it uses less digits than its factorization.

12943927296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 532 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 12943927296 in words is "twelve billion, nine hundred forty-three million, nine hundred twenty-seven thousand, two hundred ninety-six".