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12656943376 = 24711314159137
BaseRepresentation
bin10111100100110100…
…11010000100010000
31012200002021100020121
423302122122010100
5201410134142001
65451534120024
7625436146360
oct136232320420
935602240217
1012656943376
115405572990
122552950014
1312692aa00c
14880d889a0
154e128a6a1
hex2f269a110

12656943376 has 320 divisors, whose sum is σ = 33117880320. Its totient is φ = 4543488000.

The previous prime is 12656943301. The next prime is 12656943379. The reversal of 12656943376 is 67334965621.

It is a happy number.

Its product of digits (4898880) is a multiple of the sum of its prime divisors (288).

It is not an unprimeable number, because it can be changed into a prime (12656943379) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92386380 + ... + 92386516.

It is an arithmetic number, because the mean of its divisors is an integer number (103493376).

Almost surely, 212656943376 is an apocalyptic number.

12656943376 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 12656943376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558940160).

12656943376 is an abundant number, since it is smaller than the sum of its proper divisors (20460936944).

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

12656943376 is a wasteful number, since it uses less digits than its factorization.

12656943376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 52.

The spelling of 12656943376 in words is "twelve billion, six hundred fifty-six million, nine hundred forty-three thousand, three hundred seventy-six".