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12939182256 = 243721113173173
BaseRepresentation
bin11000000110011110…
…00100000010110000
31020101202100120012110
430003033010002300
5202444412313011
65535535325320
7635434143300
oct140317040260
936352316173
1012939182256
11553a916160
122611380840
1312b28c9780
148aa657600
1550ae3bba6
hex3033c40b0

12939182256 has 960 divisors, whose sum is σ = 50612760576. Its totient is φ = 2786918400.

The previous prime is 12939182209. The next prime is 12939182279. The reversal of 12939182256 is 65228193921.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 177249036 + ... + 177249108.

Almost surely, 212939182256 is an apocalyptic number.

12939182256 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 12939182256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25306380288).

12939182256 is an abundant number, since it is smaller than the sum of its proper divisors (37673578320).

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

12939182256 is a wasteful number, since it uses less digits than its factorization.

12939182256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 157 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The spelling of 12939182256 in words is "twelve billion, nine hundred thirty-nine million, one hundred eighty-two thousand, two hundred fifty-six".