Search a number
-
+
10164526793 is a prime number
BaseRepresentation
bin10010111011101101…
…00101111011001001
3222020101100110110022
421131312211323021
5131304104324133
64400341030225
7506613023621
oct113566457311
928211313408
1010164526793
114346679473
121b780b5375
13c5cb044c5
146c5d4d881
153e755b998
hex25dda5ec9

10164526793 has 2 divisors, whose sum is σ = 10164526794. Its totient is φ = 10164526792.

The previous prime is 10164526759. The next prime is 10164526819. The reversal of 10164526793 is 39762546101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8602933504 + 1561593289 = 92752^2 + 39517^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10164526793 is a prime.

It is a super-2 number, since 2×101645267932 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10164526703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5082263396 + 5082263397.

It is an arithmetic number, because the mean of its divisors is an integer number (5082263397).

Almost surely, 210164526793 is an apocalyptic number.

It is an amenable number.

10164526793 is a deficient number, since it is larger than the sum of its proper divisors (1).

10164526793 is an equidigital number, since it uses as much as digits as its factorization.

10164526793 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 272160, while the sum is 44.

The spelling of 10164526793 in words is "ten billion, one hundred sixty-four million, five hundred twenty-six thousand, seven hundred ninety-three".