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12754025856 = 27331113131197
BaseRepresentation
bin10111110000011001…
…01111110110000000
31012220211221122101000
423320030233312000
5202110012311411
65505323012000
7631025300565
oct137014576600
935824848330
1012754025856
115455351440
12257b36a000
13128343b880
1488dc1a86c
154e9a65956
hex2f832fd80

12754025856 has 512 divisors, whose sum is σ = 44786649600. Its totient is φ = 3522355200.

The previous prime is 12754025833. The next prime is 12754025863. The reversal of 12754025856 is 65852045721.

12754025856 is a `hidden beast` number, since 1 + 2 + 7 + 540 + 2 + 58 + 56 = 666.

12754025856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 64741150 + ... + 64741346.

It is an arithmetic number, because the mean of its divisors is an integer number (87473925).

Almost surely, 212754025856 is an apocalyptic number.

12754025856 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 12754025856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22393324800).

12754025856 is an abundant number, since it is smaller than the sum of its proper divisors (32032623744).

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

12754025856 is a wasteful number, since it uses less digits than its factorization.

12754025856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 12754025856 in words is "twelve billion, seven hundred fifty-four million, twenty-five thousand, eight hundred fifty-six".