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9164216113 = 1310124128961
BaseRepresentation
bin10001000100011101…
…01101011100110001
3212122200002102011121
420202032231130301
5122232014403423
64113204542241
7443045360143
oct104216553461
925580072147
109164216113
113982a63228
1219390b1981
13b307b8ab0
1462d160c93
1538981845d
hex2223ad731

9164216113 has 16 divisors (see below), whose sum is σ = 10008572112. Its totient is φ = 8340480000.

The previous prime is 9164216101. The next prime is 9164216141. The reversal of 9164216113 is 3116124619.

It can be written as a sum of positive squares in 8 ways, for example, as 2142949264 + 7021266849 = 46292^2 + 83793^2 .

It is a cyclic number.

It is not a de Polignac number, because 9164216113 - 25 = 9164216081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9164216143) 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, 301953 + ... + 330913.

It is an arithmetic number, because the mean of its divisors is an integer number (625535757).

Almost surely, 29164216113 is an apocalyptic number.

It is an amenable number.

9164216113 is a deficient number, since it is larger than the sum of its proper divisors (844355999).

9164216113 is a wasteful number, since it uses less digits than its factorization.

9164216113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29316.

The product of its digits is 7776, while the sum is 34.

The square root of 9164216113 is about 95729.9123210713. The cubic root of 9164216113 is about 2092.6588804839.

The spelling of 9164216113 in words is "nine billion, one hundred sixty-four million, two hundred sixteen thousand, one hundred thirteen".

Divisors: 1 13 101 241 1313 3133 24341 28961 316433 376493 2925061 6979601 38025793 90734813 704939701 9164216113