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12796056000 = 263453721331
BaseRepresentation
bin10111110101011010…
…00101000111000000
31020000210000222220000
423322231011013000
5202201242243000
65513423520000
7632045452500
oct137255050700
936023028800
1012796056000
1154770492a2
122591459000
13128c066490
1489563ba00
154ed5b9000
hex2fab451c0

12796056000 has 1680 divisors, whose sum is σ = 61216227072. Its totient is φ = 2612736000.

The previous prime is 12796055999. The next prime is 12796056001. The reversal of 12796056000 is 65069721.

12796056000 is a `hidden beast` number, since 1 + 2 + 7 + 96 + 0 + 560 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12796055999) and next prime (12796056001).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12796056001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 412775985 + ... + 412776015.

Almost surely, 212796056000 is an apocalyptic number.

12796056000 is a gapful number since it is divisible by the number (10) 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 12796056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30608113536).

12796056000 is an abundant number, since it is smaller than the sum of its proper divisors (48420171072).

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

12796056000 is a wasteful number, since it uses less digits than its factorization.

12796056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 12796056000 in words is "twelve billion, seven hundred ninety-six million, fifty-six thousand".