Search a number
-
+
166866837013 is a prime number
BaseRepresentation
bin1001101101101000001…
…0011101111000010101
3120221201020101121111201
42123122002131320111
510213220402241023
6204354011232501
715025054466122
oct2333202357025
9527636347451
10166866837013
1164849a85478
122840b448731
1312973aba4a6
14810d8c9749
154519750bad
hex26da09de15

166866837013 has 2 divisors, whose sum is σ = 166866837014. Its totient is φ = 166866837012.

The previous prime is 166866836999. The next prime is 166866837023. The reversal of 166866837013 is 310738668661.

166866837013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 166719505969 + 147331044 = 408313^2 + 12138^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-166866837013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (166866837023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83433418506 + 83433418507.

It is an arithmetic number, because the mean of its divisors is an integer number (83433418507).

Almost surely, 2166866837013 is an apocalyptic number.

It is an amenable number.

166866837013 is a deficient number, since it is larger than the sum of its proper divisors (1).

166866837013 is an equidigital number, since it uses as much as digits as its factorization.

166866837013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 166866837013 in words is "one hundred sixty-six billion, eight hundred sixty-six million, eight hundred thirty-seven thousand, thirteen".