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20165038600 = 235276857
BaseRepresentation
bin10010110001111011…
…100001001000001000
31221001100002002122111
4102301323201020020
5312244222213400
613132542432104
71312465000000
oct226173411010
957040062574
1020165038600
118608702a63
123aa9292634
131b94940905
14d941a7000
157d04bb3ba
hex4b1ee1208

20165038600 has 168 divisors, whose sum is σ = 54761425290. Its totient is φ = 6905660160.

The previous prime is 20165038589. The next prime is 20165038633. The reversal of 20165038600 is 683056102.

It can be written as a sum of positive squares in 3 ways, for example, as 18636072196 + 1528966404 = 136514^2 + 39102^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 23529372 + ... + 23530228.

Almost surely, 220165038600 is an apocalyptic number.

20165038600 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 20165038600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27380712645).

20165038600 is an abundant number, since it is smaller than the sum of its proper divisors (34596386690).

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

20165038600 is an frugal number, since it uses more digits than its factorization.

20165038600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 20165038600 in words is "twenty billion, one hundred sixty-five million, thirty-eight thousand, six hundred".