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31395232969 = 167210612
BaseRepresentation
bin11101001111010011…
…010011110011001001
310000000222200002012021
4131033103103303021
51003244134423334
622231152444441
72161001035312
oct351723236311
9100028602167
1031395232969
1112350877231
126102249721
132c64464b39
14173b879609
15c3b37b3b4
hex74f4d3cc9

31395232969 has 9 divisors (see below), whose sum is σ = 31614150631. Its totient is φ = 31177824520.

The previous prime is 31395232879. The next prime is 31395233029. The reversal of 31395232969 is 96923259313.

The square root of 31395232969 is 177187.

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

It can be written as a sum of positive squares in only one way, i.e., 20674701369 + 10720531600 = 143787^2 + 103540^2 .

It is a de Polignac number, because none of the positive numbers 2k-31395232969 is a prime.

It is a super-2 number, since 2×313952329692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31395232669) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29589699 + ... + 29590759.

Almost surely, 231395232969 is an apocalyptic number.

31395232969 is the 177187-th square number.

31395232969 is the 88594-th centered octagonal number.

It is an amenable number.

31395232969 is a deficient number, since it is larger than the sum of its proper divisors (218917662).

31395232969 is an frugal number, since it uses more digits than its factorization.

31395232969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 1228 counting only the distinct ones).

The product of its digits is 2361960, while the sum is 52.

It can be divided in two parts, 313952 and 32969, that added together give a square (346921 = 5892).

The spelling of 31395232969 in words is "thirty-one billion, three hundred ninety-five million, two hundred thirty-two thousand, nine hundred sixty-nine".

Divisors: 1 167 1061 27889 177187 1125721 29590229 187995407 31395232969