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20425204800 = 263252711132109
BaseRepresentation
bin10011000001011011…
…111110010001000000
31221201110121220120200
4103001123332101000
5313312323023200
613214435005200
71322104243020
oct230133762100
957643556520
1020425204800
11873154a750
123b60439800
131c06802700
14dba96ba80
157e825c800
hex4c16fe440

20425204800 has 1512 divisors, whose sum is σ = 98906258880. Its totient is φ = 3881779200.

The previous prime is 20425204799. The next prime is 20425204837. The reversal of 20425204800 is 840252402.

It is a happy number.

20425204800 is a `hidden beast` number, since 20 + 42 + 520 + 4 + 80 + 0 = 666.

It is a super-2 number, since 2×204252048002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 187387146 + ... + 187387254.

Almost surely, 220425204800 is an apocalyptic number.

20425204800 is a gapful number since it is divisible by the number (20) 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 20425204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49453129440).

20425204800 is an abundant number, since it is smaller than the sum of its proper divisors (78481054080).

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

20425204800 is a wasteful number, since it uses less digits than its factorization.

20425204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 20425204800 in words is "twenty billion, four hundred twenty-five million, two hundred four thousand, eight hundred".