Search a number
-
+
8132314057 = 72165965593
BaseRepresentation
bin1111001001011100…
…10100001111001001
3202222202101100122221
413210232110033021
5113123333022212
63422543414041
7405345346300
oct74456241711
922882340587
108132314057
1134a352aa0a
1216ab5b4321
139c7a8bc6a
145720ab437
15328e34807
hex1e4b943c9

8132314057 has 6 divisors (see below), whose sum is σ = 9460038858. Its totient is φ = 6970554864.

The previous prime is 8132314039. The next prime is 8132314087. The reversal of 8132314057 is 7504132318.

It can be written as a sum of positive squares in only one way, i.e., 7677089161 + 455224896 = 87619^2 + 21336^2 .

It is not a de Polignac number, because 8132314057 - 27 = 8132313929 is a prime.

It is a super-2 number, since 2×81323140572 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8132314037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82982748 + ... + 82982845.

It is an arithmetic number, because the mean of its divisors is an integer number (1576673143).

Almost surely, 28132314057 is an apocalyptic number.

It is an amenable number.

8132314057 is a deficient number, since it is larger than the sum of its proper divisors (1327724801).

8132314057 is a wasteful number, since it uses less digits than its factorization.

8132314057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165965607 (or 165965600 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 8132314057 is about 90179.3438487994. The cubic root of 8132314057 is about 2010.9659356549.

The spelling of 8132314057 in words is "eight billion, one hundred thirty-two million, three hundred fourteen thousand, fifty-seven".

Divisors: 1 7 49 165965593 1161759151 8132314057