Search a number
-
+
12395566152 = 2332131212
BaseRepresentation
bin10111000101101010…
…10101010001001000
31011222212110000002200
423202311111101020
5200341231104102
65410000000200
7616113400554
oct134265252110
934885400080
1012395566152
115290a79352
12249b300060
1312270b2c38
1485838a864
154c835a51c
hex2e2d55448

12395566152 has 36 divisors (see below), whose sum is σ = 33573883785. Its totient is φ = 4131540480.

The previous prime is 12395566147. The next prime is 12395566187. The reversal of 12395566152 is 25166559321.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12395566152 is a `hidden beast` number, since 1 + 2 + 39 + 5 + 566 + 1 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10513221156 + 1882344996 = 102534^2 + 43386^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78726.

It is a junction number, because it is equal to n+sod(n) for n = 12395566098 and 12395566107.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 938152 + ... + 951272.

Almost surely, 212395566152 is an apocalyptic number.

12395566152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12395566152 is an abundant number, since it is smaller than the sum of its proper divisors (21178317633).

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

12395566152 is an frugal number, since it uses more digits than its factorization.

12395566152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26254 (or 13126 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The spelling of 12395566152 in words is "twelve billion, three hundred ninety-five million, five hundred sixty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13121 26242 39363 52484 78726 104968 118089 157452 236178 314904 472356 944712 172160641 344321282 516481923 688642564 1032963846 1377285128 1549445769 2065927692 3098891538 4131855384 6197783076 12395566152