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12724706249 = 417922232
BaseRepresentation
bin10111101100111001…
…11001101111001001
31012211210210001102122
423312130321233021
5202030011044444
65502354341025
7630221134643
oct136634715711
935753701378
1012724706249
11543a846162
12257158a775
13127a3444a8
14889d87893
154e71c34ee
hex2f6739bc9

12724706249 has 18 divisors (see below), whose sum is σ = 13261622346. Its totient is φ = 12202238880.

The previous prime is 12724706207. The next prime is 12724706299. The reversal of 12724706249 is 94260742721.

It can be written as a sum of positive squares in only one way, i.e., 7758967225 + 4965739024 = 88085^2 + 70468^2 .

It is a de Polignac number, because none of the positive numbers 2k-12724706249 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12724706299) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57061352 + ... + 57061574.

It is an arithmetic number, because the mean of its divisors is an integer number (736756797).

Almost surely, 212724706249 is an apocalyptic number.

It is an amenable number.

12724706249 is a deficient number, since it is larger than the sum of its proper divisors (536916097).

12724706249 is an frugal number, since it uses more digits than its factorization.

12724706249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 12724706249 in words is "twelve billion, seven hundred twenty-four million, seven hundred six thousand, two hundred forty-nine".

Divisors: 1 41 79 223 3239 6241 9143 17617 49729 255881 722297 1391743 2038889 3928591 57061463 161072231 310358689 12724706249