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9052000164 = 223210121572
BaseRepresentation
bin10000110111000101…
…01000111110100100
3212100211221020211100
420123202220332210
5122014303001124
64054115440100
7440213506014
oct103342507644
925324836740
109052000164
113925688779
1219075b6030
13b13488c1c
1461c2adc44
1537ea4e1c9
hex21b8a8fa4

9052000164 has 81 divisors (see below), whose sum is σ = 23258373411. Its totient is φ = 2968430400.

The previous prime is 9052000151. The next prime is 9052000193. The reversal of 9052000164 is 4610002509.

The square root of 9052000164 is 95142.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1200622500 + 7851377664 = 34650^2 + 88608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57655974 + ... + 57656130.

Almost surely, 29052000164 is an apocalyptic number.

9052000164 is the 95142-nd square number.

It is an amenable number.

9052000164 is an abundant number, since it is smaller than the sum of its proper divisors (14206373247).

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

9052000164 is a wasteful number, since it uses less digits than its factorization.

9052000164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 9052000164 is about 2084.0822322440.

The spelling of 9052000164 in words is "nine billion, fifty-two million, one hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 101 157 202 303 314 404 471 606 628 909 942 1212 1413 1818 1884 2826 3636 5652 10201 15857 20402 24649 30603 31714 40804 47571 49298 61206 63428 73947 91809 95142 98596 122412 142713 147894 183618 190284 221841 285426 295788 367236 443682 570852 887364 1601557 2489549 3203114 4804671 4979098 6406228 7468647 9609342 9958196 14414013 14937294 19218684 22405941 28828026 29874588 44811882 57656052 89623764 251444449 502888898 754333347 1005777796 1508666694 2263000041 3017333388 4526000082 9052000164