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20050800264 = 233411109131197
BaseRepresentation
bin10010101011000111…
…101110111010001000
31220202101010012010000
4102223013232322020
5312031001102024
613113342123000
71306606663425
oct225307567210
956671105100
1020050800264
11855a177010
123a76b80460
131b77083371
14d82d4ad4c
157c5452cc9
hex4ab1eee88

20050800264 has 320 divisors, whose sum is σ = 62616628800. Its totient is φ = 5943974400.

The previous prime is 20050800233. The next prime is 20050800293. The reversal of 20050800264 is 46200805002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 101780614 + ... + 101780810.

It is an arithmetic number, because the mean of its divisors is an integer number (195676965).

Almost surely, 220050800264 is an apocalyptic number.

20050800264 is a gapful number since it is divisible by the number (24) 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 20050800264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31308314400).

20050800264 is an abundant number, since it is smaller than the sum of its proper divisors (42565828536).

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

20050800264 is a wasteful number, since it uses less digits than its factorization.

20050800264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 20050800264 in words is "twenty billion, fifty million, eight hundred thousand, two hundred sixty-four".