Search a number
-
+
17966182931 is a prime number
BaseRepresentation
bin10000101110110111…
…100011001000010011
31201101002112122201122
4100232313203020103
5243243320323211
612130433352455
71204135015034
oct205667431023
951332478648
1017966182931
11768a495174
123594a0872b
131904220098
14c26146a8b
157024286db
hex42ede3213

17966182931 has 2 divisors, whose sum is σ = 17966182932. Its totient is φ = 17966182930.

The previous prime is 17966182919. The next prime is 17966182933. The reversal of 17966182931 is 13928166971.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 17966182931 - 26 = 17966182867 is a prime.

It is a super-2 number, since 2×179661829312 (a number of 21 digits) contains 22 as substring.

Together with 17966182933, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (17966182933) 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 as a sum of consecutive naturals, namely, 8983091465 + 8983091466.

It is an arithmetic number, because the mean of its divisors is an integer number (8983091466).

Almost surely, 217966182931 is an apocalyptic number.

17966182931 is a deficient number, since it is larger than the sum of its proper divisors (1).

17966182931 is an equidigital number, since it uses as much as digits as its factorization.

17966182931 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 979776, while the sum is 53.

The spelling of 17966182931 in words is "seventeen billion, nine hundred sixty-six million, one hundred eighty-two thousand, nine hundred thirty-one".