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12655931904 = 293271153673
BaseRepresentation
bin10111100100101101…
…00011001000000000
31012200000100221202200
423302112203020000
5201404404310104
65451500313200
7625424434440
oct136226431000
935600327680
1012655931904
115404a41a60
122552542800
131269014805
14880ba4120
154e113ab39
hex2f25a3200

12655931904 has 480 divisors, whose sum is σ = 46466918784. Its totient is φ = 3220439040.

The previous prime is 12655931887. The next prime is 12655931921. The reversal of 12655931904 is 40913955621.

12655931904 is a `hidden beast` number, since 1 + 2 + 6 + 559 + 3 + 1 + 90 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12655931887) and next prime (12655931921).

It is a super-2 number, since 2×126559319042 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12655931904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18804912 + ... + 18805584.

Almost surely, 212655931904 is an apocalyptic number.

12655931904 is a gapful number since it is divisible by the number (14) 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 12655931904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23233459392).

12655931904 is an abundant number, since it is smaller than the sum of its proper divisors (33810986880).

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

12655931904 is a wasteful number, since it uses less digits than its factorization.

12655931904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 12655931904 in words is "twelve billion, six hundred fifty-five million, nine hundred thirty-one thousand, nine hundred four".