Search a number
-
+
264868129 is a prime number
BaseRepresentation
bin11111100100110…
…01000100100001
3200110101200202201
433302121010201
51020301240004
642141013201
76364225201
oct1762310441
9613350681
10264868129
11126569389
1274854201
1342b4a006
142726a401
15183be6a4
hexfc99121

264868129 has 2 divisors, whose sum is σ = 264868130. Its totient is φ = 264868128.

The previous prime is 264868117. The next prime is 264868181. The reversal of 264868129 is 921868462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 264810529 + 57600 = 16273^2 + 240^2 .

It is a cyclic number.

It is not a de Polignac number, because 264868129 - 211 = 264866081 is a prime.

It is not a weakly prime, because it can be changed into another prime (264868199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132434064 + 132434065.

It is an arithmetic number, because the mean of its divisors is an integer number (132434065).

Almost surely, 2264868129 is an apocalyptic number.

It is an amenable number.

264868129 is a deficient number, since it is larger than the sum of its proper divisors (1).

264868129 is an equidigital number, since it uses as much as digits as its factorization.

264868129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 331776, while the sum is 46.

The square root of 264868129 is about 16274.7697065120. The cubic root of 264868129 is about 642.2092667371.

The spelling of 264868129 in words is "two hundred sixty-four million, eight hundred sixty-eight thousand, one hundred twenty-nine".