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625085491968 = 28327315412311
BaseRepresentation
bin10010001100010011111…
…11111010101100000000
32012202110021122002020100
421012021333322230000
540220133341220333
61155054343242400
763106126005060
oct11061177725400
92182407562210
10625085491968
11221108511a43
12a118ba49400
1346c39ac7a92
142237bb233a0
15113d72cb213
hex9189ffab00

625085491968 has 432 divisors, whose sum is σ = 2131038687232. Its totient is φ = 172440576000.

The previous prime is 625085491939. The next prime is 625085492021. The reversal of 625085491968 is 869194580526.

625085491968 is a `hidden beast` number, since 6 + 2 + 5 + 0 + 85 + 491 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270481533 + ... + 270483843.

Almost surely, 2625085491968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625085491968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065519343616).

625085491968 is an abundant number, since it is smaller than the sum of its proper divisors (1505953195264).

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

625085491968 is a wasteful number, since it uses less digits than its factorization.

625085491968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 625085491968 in words is "six hundred twenty-five billion, eighty-five million, four hundred ninety-one thousand, nine hundred sixty-eight".