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20257922880 = 2633513415383
BaseRepresentation
bin10010110111011101…
…110101111101000000
31221021210212002221000
4102313131311331000
5312442012013010
613150101332000
71315003334436
oct226735657500
957253762830
1020257922880
118656084328
123b14407000
131baac62620
14da2664d56
157d87177c0
hex4b7775f40

20257922880 has 896 divisors, whose sum is σ = 81295280640. Its totient is φ = 4715642880.

The previous prime is 20257922849. The next prime is 20257922929. The reversal of 20257922880 is 8822975202.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 244071319 + ... + 244071401.

It is an arithmetic number, because the mean of its divisors is an integer number (90731340).

Almost surely, 220257922880 is an apocalyptic number.

20257922880 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 20257922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40647640320).

20257922880 is an abundant number, since it is smaller than the sum of its proper divisors (61037357760).

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

20257922880 is a wasteful number, since it uses less digits than its factorization.

20257922880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 20257922880 in words is "twenty billion, two hundred fifty-seven million, nine hundred twenty-two thousand, eight hundred eighty".