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12370255272 = 2332171809101
BaseRepresentation
bin10111000010101001…
…10001110110101000
31011221002211002002200
423201110301312220
5200313241132042
65403253300200
7615355302114
oct134124616650
934832732080
1012370255272
115278760971
122492934660
131221a9039b
14854c7c744
154c600ac4c
hex2e1531da8

12370255272 has 24 divisors (see below), whose sum is σ = 33502774890. Its totient is φ = 4123418400.

The previous prime is 12370255267. The next prime is 12370255277. The reversal of 12370255272 is 27255207321.

12370255272 is a `hidden beast` number, since 1 + 2 + 37 + 0 + 2 + 552 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (12370255267) and next prime (12370255277).

It can be written as a sum of positive squares in only one way, i.e., 12229263396 + 140991876 = 110586^2 + 11874^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12370255277) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85904479 + ... + 85904622.

Almost surely, 212370255272 is an apocalyptic number.

12370255272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12370255272 is an abundant number, since it is smaller than the sum of its proper divisors (21132519618).

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

12370255272 is a wasteful number, since it uses less digits than its factorization.

12370255272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171809113 (or 171809106 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 12370255272 in words is "twelve billion, three hundred seventy million, two hundred fifty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 171809101 343618202 515427303 687236404 1030854606 1374472808 1546281909 2061709212 3092563818 4123418424 6185127636 12370255272