Search a number
-
+
12849408009 = 3212371154173
BaseRepresentation
bin10111111011110001…
…00110100000001001
31020011111102120002100
423331320212200021
5202303422024014
65523011224013
7633264110634
oct137570464011
936144376070
1012849408009
1154a4179469
1225a72a8009
13129a126509
1489c768c1b
15503107009
hex2fde26809

12849408009 has 12 divisors (see below), whose sum is σ = 18575276356. Its totient is φ = 8559339552.

The previous prime is 12849407983. The next prime is 12849408017. The reversal of 12849408009 is 90080494821.

12849408009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9681969609 + 3167438400 = 98397^2 + 56280^2 .

It is not a de Polignac number, because 12849408009 - 27 = 12849407881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12849408029) 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, 565954 + ... + 588219.

Almost surely, 212849408009 is an apocalyptic number.

It is an amenable number.

12849408009 is a deficient number, since it is larger than the sum of its proper divisors (5725868347).

12849408009 is a wasteful number, since it uses less digits than its factorization.

12849408009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155416 (or 1155413 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 12849408009 in words is "twelve billion, eight hundred forty-nine million, four hundred eight thousand, nine".

Divisors: 1 3 9 1237 3711 11133 1154173 3462519 10387557 1427712001 4283136003 12849408009