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20117765430 = 23257374320071
BaseRepresentation
bin10010101111000111…
…001011110100110110
31220221001010101001100
4102233013023310312
5312200121443210
613124133310530
71311352120230
oct225707136466
956831111040
1020117765430
118593a54a24
123a95495446
131b87bcb719
14d8bbbd250
157cb27e5c0
hex4af1cbd36

20117765430 has 192 divisors, whose sum is σ = 62825038848. Its totient is φ = 4369800960.

The previous prime is 20117765401. The next prime is 20117765449. The reversal of 20117765430 is 3456771102.

It is a happy number.

20117765430 is a `hidden beast` number, since 201 + 17 + 7 + 6 + 5 + 430 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 992295 + ... + 1012365.

It is an arithmetic number, because the mean of its divisors is an integer number (327213744).

Almost surely, 220117765430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20117765430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31412519424).

20117765430 is an abundant number, since it is smaller than the sum of its proper divisors (42707273418).

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

20117765430 is a wasteful number, since it uses less digits than its factorization.

20117765430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20171 (or 20168 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 20117765430 in words is "twenty billion, one hundred seventeen million, seven hundred sixty-five thousand, four hundred thirty".