Search a number
-
+
12386031957 = 3213102892
BaseRepresentation
bin10111000100100001…
…11101100101010101
31011222012111121122100
423202100331211111
5200331311010312
65405015352313
7615636351225
oct134220754525
934865447570
1012386031957
115286657152
122498082699
1312251253c0
14856dc8085
154c75c55dc
hex2e243d955

12386031957 has 18 divisors (see below), whose sum is σ = 19269033602. Its totient is φ = 7621432704.

The previous prime is 12386031953. The next prime is 12386031971. The reversal of 12386031957 is 75913068321.

12386031957 is a `hidden beast` number, since 1 + 2 + 38 + 603 + 1 + 9 + 5 + 7 = 666.

12386031957 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 3 ways, for example, as 4488866001 + 7897165956 = 66999^2 + 88866^2 .

It is not a de Polignac number, because 12386031957 - 22 = 12386031953 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12386031953) 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 17 ways as a sum of consecutive naturals, for example, 1198669 + ... + 1208957.

Almost surely, 212386031957 is an apocalyptic number.

It is an amenable number.

12386031957 is a deficient number, since it is larger than the sum of its proper divisors (6883001645).

12386031957 is an frugal number, since it uses more digits than its factorization.

12386031957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20597 (or 10305 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12386031957 in words is "twelve billion, three hundred eighty-six million, thirty-one thousand, nine hundred fifty-seven".

Divisors: 1 3 9 13 39 117 10289 30867 92601 133757 401271 1203813 105863521 317590563 952771689 1376225773 4128677319 12386031957