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20091875328 = 2123274227
BaseRepresentation
bin10010101101100100…
…011011000000000000
31220212020102000111200
4102231210123000000
5312122010002303
613121410341200
71310616060000
oct225544330000
956766360450
1020091875328
118580381348
123a8888a800
131b82735335
14d885a0000
157c8d683a3
hex4ad91b000

20091875328 has 390 divisors, whose sum is σ = 68003025324. Its totient is φ = 5715247104.

The previous prime is 20091875273. The next prime is 20091875351. The reversal of 20091875328 is 82357819002.

It is a happy number.

20091875328 is a `hidden beast` number, since 20 + 0 + 91 + 8 + 7 + 532 + 8 = 666.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 88510351 + ... + 88510577.

Almost surely, 220091875328 is an apocalyptic number.

20091875328 is a gapful number since it is divisible by the number (28) 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 20091875328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34001512662).

20091875328 is an abundant number, since it is smaller than the sum of its proper divisors (47911149996).

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

20091875328 is an frugal number, since it uses more digits than its factorization.

20091875328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 20091875328 in words is "twenty billion, ninety-one million, eight hundred seventy-five thousand, three hundred twenty-eight".