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12632876256 = 253711213171937
BaseRepresentation
bin10111100001111101…
…00110010011100000
31012121101222121100210
423300332212103200
5201333004020011
65445314214120
7625024451010
oct136076462340
935541877323
1012632876256
1153a2a24a00
122546884340
131264301610
1487bac1c40
154de0d46a6
hex2f0fa64e0

12632876256 has 1152 divisors, whose sum is σ = 51351874560. Its totient is φ = 2627665920.

The previous prime is 12632876233. The next prime is 12632876279. The reversal of 12632876256 is 65267823621.

12632876256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12632876233) and next prime (12632876279).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1451520) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 341429070 + ... + 341429106.

It is an arithmetic number, because the mean of its divisors is an integer number (44576280).

Almost surely, 212632876256 is an apocalyptic number.

12632876256 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 12632876256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25675937280).

12632876256 is an abundant number, since it is smaller than the sum of its proper divisors (38718998304).

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

12632876256 is a wasteful number, since it uses less digits than its factorization.

12632876256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

It can be divided in two parts, 12632 and 876256, that added together give a palindrome (888888).

The spelling of 12632876256 in words is "twelve billion, six hundred thirty-two million, eight hundred seventy-six thousand, two hundred fifty-six".