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9932619601 = 531371578713
BaseRepresentation
bin10010100000000011…
…11011111101010001
3221122012222100121001
421100001323331101
5130320222311401
64321334302001
7501065605432
oct112001737521
927565870531
109932619601
114237783133
121b124b7901
13c23a58108
146a3223489
153d1eed601
hex25007bf51

9932619601 has 16 divisors (see below), whose sum is σ = 10260003024. Its totient is φ = 9611357184.

The previous prime is 9932619553. The next prime is 9932619629. The reversal of 9932619601 is 1069162399.

It can be written as a sum of positive squares in 8 ways, for example, as 1223250625 + 8709368976 = 34975^2 + 93324^2 .

It is a cyclic number.

It is not a de Polignac number, because 9932619601 - 29 = 9932619089 is a prime.

It is a super-3 number, since 3×99326196013 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9932619661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1135621 + ... + 1144333.

It is an arithmetic number, because the mean of its divisors is an integer number (641250189).

Almost surely, 29932619601 is an apocalyptic number.

It is an amenable number.

9932619601 is a deficient number, since it is larger than the sum of its proper divisors (327383423).

9932619601 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (9932619600) it forms an eRAP, since the sums of their prime factors are consecutive (9059 and 9060).

9932619601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9060.

The product of its (nonzero) digits is 157464, while the sum is 46.

The square root of 9932619601 is about 99662.5285701702. The cubic root of 9932619601 is about 2149.5848919879.

The spelling of 9932619601 in words is "nine billion, nine hundred thirty-two million, six hundred nineteen thousand, six hundred one".

Divisors: 1 53 137 157 7261 8321 8713 21509 461789 1139977 1193681 1367941 63265093 72500873 187407917 9932619601