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425927010664512 = 2634722771297253
BaseRepresentation
bin110000011011000001101110…
…0001010111100000001000000
32001212002020001200221202110000
41200312003130022330001000
5421311342004212231022
64105512100101240000
7155500132245241110
oct14066033412740100
92055066050852400
10425927010664512
111137936a3698015
123b92b612103000
131538798b327866
147726d97a51040
1534395141a26ac
hex18360dc2bc040

425927010664512 has 560 divisors, whose sum is σ = 1449709571756160. Its totient is φ = 121123640107008.

The previous prime is 425927010664511. The next prime is 425927010664553. The reversal of 425927010664512 is 215466010729524.

425927010664512 is a `hidden beast` number, since 4 + 2 + 59 + 2 + 7 + 0 + 10 + 6 + 64 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (425927010664511) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58724249878 + ... + 58724257130.

Almost surely, 2425927010664512 is an apocalyptic number.

425927010664512 is a gapful number since it is divisible by the number (42) 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 425927010664512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724854785878080).

425927010664512 is an abundant number, since it is smaller than the sum of its proper divisors (1023782561091648).

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

425927010664512 is a wasteful number, since it uses less digits than its factorization.

425927010664512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14640 (or 14621 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 425927010664512 in words is "four hundred twenty-five trillion, nine hundred twenty-seven billion, ten million, six hundred sixty-four thousand, five hundred twelve".