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425376988560 = 24345361318169
BaseRepresentation
bin1100011000010100111…
…00011011110110010000
31111122222020211221220000
412030022130123312100
523432133002113220
6523225425050000
742506144513256
oct6141234336620
91448866757800
10425376988560
11154446247517
126a535a86900
1331160cba0c4
14168346405d6
15b0e9736390
hex630a71bd90

425376988560 has 200 divisors, whose sum is σ = 1477887548280. Its totient is φ = 113396226048.

The previous prime is 425376988523. The next prime is 425376988567. The reversal of 425376988560 is 65889673524.

It is a happy number.

425376988560 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 7 + 69 + 8 + 8 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27387602064 + 397989386496 = 165492^2 + 630864^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (425376988567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23403156 + ... + 23421324.

Almost surely, 2425376988560 is an apocalyptic number.

425376988560 is a gapful number since it is divisible by the number (40) 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 425376988560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738943774140).

425376988560 is an abundant number, since it is smaller than the sum of its proper divisors (1052510559720).

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

425376988560 is a wasteful number, since it uses less digits than its factorization.

425376988560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21807 (or 21792 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 425376988560 in words is "four hundred twenty-five billion, three hundred seventy-six million, nine hundred eighty-eight thousand, five hundred sixty".