Search a number
-
+
10164685249 is a prime number
BaseRepresentation
bin10010111011101110…
…01100100111000001
3222020101122111211001
421131313030213001
5131304124411444
64400344252001
7506614253605
oct113567144701
928211574731
1010164685249
114346777524
121b78171001
13c5cb5b674
146c5d91505
153e758d8d4
hex25ddcc9c1

10164685249 has 2 divisors, whose sum is σ = 10164685250. Its totient is φ = 10164685248.

The previous prime is 10164685231. The next prime is 10164685277. The reversal of 10164685249 is 94258646101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5545036225 + 4619649024 = 74465^2 + 67968^2 .

It is a cyclic number.

It is not a de Polignac number, because 10164685249 - 27 = 10164685121 is a prime.

It is a super-2 number, since 2×101646852492 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10164685199 and 10164685208.

It is not a weakly prime, because it can be changed into another prime (10164665249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5082342624 + 5082342625.

It is an arithmetic number, because the mean of its divisors is an integer number (5082342625).

Almost surely, 210164685249 is an apocalyptic number.

It is an amenable number.

10164685249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10164685249 is an equidigital number, since it uses as much as digits as its factorization.

10164685249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 10164685249 in words is "ten billion, one hundred sixty-four million, six hundred eighty-five thousand, two hundred forty-nine".