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664162317 = 327213115849
BaseRepresentation
bin100111100101100…
…101000000001101
31201021201221102100
4213211211000031
52330011143232
6145523145313
722313200200
oct4745450015
91637657370
10664162317
113109a1a85
12166515239
13a77a2270
14642c9937
153d493c7c
hex2796500d

664162317 has 36 divisors (see below), whose sum is σ = 1201827900. Its totient is φ = 350324352.

The previous prime is 664162313. The next prime is 664162333. The reversal of 664162317 is 713261466.

It is a happy number.

664162317 is a `hidden beast` number, since 6 + 6 + 416 + 231 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 315630756 + 348531561 = 17766^2 + 18669^2 .

It is not a de Polignac number, because 664162317 - 22 = 664162313 is a prime.

It is a super-2 number, since 2×6641623172 = 882223166645616978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664162313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52192 + ... + 63657.

Almost surely, 2664162317 is an apocalyptic number.

It is an amenable number.

664162317 is a deficient number, since it is larger than the sum of its proper divisors (537665583).

664162317 is a wasteful number, since it uses less digits than its factorization.

664162317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115882 (or 115872 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 664162317 is about 25771.3468216157. The cubic root of 664162317 is about 872.4852166744.

The spelling of 664162317 in words is "six hundred sixty-four million, one hundred sixty-two thousand, three hundred seventeen".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 1911 5733 115849 347547 810943 1042641 1506037 2432829 4518111 5676601 7298487 10542259 13554333 17029803 31626777 51089409 73795813 94880331 221387439 664162317