Search a number
-
+
10640536129 is a prime number
BaseRepresentation
bin10011110100011100…
…11011001001000001
31000110120001020111201
421322032123021001
5133242434124004
64515503341201
7524453031136
oct117216331101
930416036451
1010640536129
11457033a313
12208b5b1801
131007609932
1472d25c58d
154242366a4
hex27a39b241

10640536129 has 2 divisors, whose sum is σ = 10640536130. Its totient is φ = 10640536128.

The previous prime is 10640536051. The next prime is 10640536133. The reversal of 10640536129 is 92163504601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6938057025 + 3702479104 = 83295^2 + 60848^2 .

It is a cyclic number.

It is not a de Polignac number, because 10640536129 - 227 = 10506318401 is a prime.

It is a super-2 number, since 2×106405361292 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10640536729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5320268064 + 5320268065.

It is an arithmetic number, because the mean of its divisors is an integer number (5320268065).

Almost surely, 210640536129 is an apocalyptic number.

It is an amenable number.

10640536129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10640536129 is an equidigital number, since it uses as much as digits as its factorization.

10640536129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 10640536129 in words is "ten billion, six hundred forty million, five hundred thirty-six thousand, one hundred twenty-nine".