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12928388044000 = 25531113192351721
BaseRepresentation
bin1011110000100001111111…
…1110100001010011100000
31200202221102120222020110211
42330020133332201103200
53143304314314402000
643255115223503504
72503021336124512
oct274103776412340
950687376866424
1012928388044000
114134998010290
121549736bb7b94
1372a1ac5b0060
14329a472c5bb2
1517646c7b47ba
hexbc21ffa14e0

12928388044000 has 768 divisors, whose sum is σ = 40991232522240. Its totient is φ = 3932375040000.

The previous prime is 12928388043973. The next prime is 12928388044031. The reversal of 12928388044000 is 44088382921.

12928388044000 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 249938140 + ... + 249989860.

It is an arithmetic number, because the mean of its divisors is an integer number (53374000680).

Almost surely, 212928388044000 is an apocalyptic number.

12928388044000 is a gapful number since it is divisible by the number (10) 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 12928388044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20495616261120).

12928388044000 is an abundant number, since it is smaller than the sum of its proper divisors (28062844478240).

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

12928388044000 is a wasteful number, since it uses less digits than its factorization.

12928388044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51812 (or 51794 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

The spelling of 12928388044000 in words is "twelve trillion, nine hundred twenty-eight billion, three hundred eighty-eight million, forty-four thousand".