Search a number
-
+
12964253106 = 237244096099
BaseRepresentation
bin11000001001011101…
…01100110110110010
31020110111112021221110
430010232230312302
5203022322044411
65542232534150
7636160222200
oct140456546662
936414467843
1012964253106
115552a8a272
122619851356
1312b7b66cac
148adb02070
1550d2402a6
hex304bacdb2

12964253106 has 24 divisors (see below), whose sum is σ = 30161732400. Its totient is φ = 3704072232.

The previous prime is 12964253101. The next prime is 12964253149. The reversal of 12964253106 is 60135246921.

12964253106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12964253101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22047756 + ... + 22048343.

It is an arithmetic number, because the mean of its divisors is an integer number (1256738850).

Almost surely, 212964253106 is an apocalyptic number.

12964253106 is an abundant number, since it is smaller than the sum of its proper divisors (17197479294).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12964253106 is a wasteful number, since it uses less digits than its factorization.

12964253106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44096118 (or 44096111 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 12964253106 in words is "twelve billion, nine hundred sixty-four million, two hundred fifty-three thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 44096099 88192198 132288297 264576594 308672693 617345386 926018079 1852036158 2160708851 4321417702 6482126553 12964253106