Search a number
-
+
10737907249 is a prime number
BaseRepresentation
bin10100000000000011…
…10111011000110001
31000201100021012120111
422000001313120301
5133442401012444
64533302341321
7530044464016
oct120001673061
930640235514
1010737907249
1146102a5713
1220b812a841
13102183c994
1473c16770d
1542ca6c234
hex280077631

10737907249 has 2 divisors, whose sum is σ = 10737907250. Its totient is φ = 10737907248.

The previous prime is 10737907189. The next prime is 10737907253. The reversal of 10737907249 is 94270973701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10688458225 + 49449024 = 103385^2 + 7032^2 .

It is a cyclic number.

It is not a de Polignac number, because 10737907249 - 217 = 10737776177 is a prime.

It is not a weakly prime, because it can be changed into another prime (10737901249) 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, 5368953624 + 5368953625.

It is an arithmetic number, because the mean of its divisors is an integer number (5368953625).

Almost surely, 210737907249 is an apocalyptic number.

It is an amenable number.

10737907249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10737907249 is an equidigital number, since it uses as much as digits as its factorization.

10737907249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 666792, while the sum is 49.

The spelling of 10737907249 in words is "ten billion, seven hundred thirty-seven million, nine hundred seven thousand, two hundred forty-nine".