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12741530832 = 243288482853
BaseRepresentation
bin10111101110111010…
…00101010011010000
31012212222102211102100
423313131011103100
5202043312441312
65504155120400
7630514140132
oct136735052320
935788384370
1012741530832
115449297778
122577143100
131280985474
1488c2c7052
154e88e85dc
hex2f77454d0

12741530832 has 30 divisors (see below), whose sum is σ = 35658590162. Its totient is φ = 4247176896.

The previous prime is 12741530831. The next prime is 12741530897. The reversal of 12741530832 is 23803514721.

12741530832 is a `hidden beast` number, since 1 + 2 + 7 + 41 + 530 + 83 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9174574656 + 3566956176 = 95784^2 + 59724^2 .

It is a super-2 number, since 2×127415308322 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12741530831) 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, 44241283 + ... + 44241570.

Almost surely, 212741530832 is an apocalyptic number.

12741530832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12741530832 is an abundant number, since it is smaller than the sum of its proper divisors (22917059330).

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

12741530832 is a wasteful number, since it uses less digits than its factorization.

12741530832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88482867 (or 88482858 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12741530832 in words is "twelve billion, seven hundred forty-one million, five hundred thirty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 88482853 176965706 265448559 353931412 530897118 707862824 796345677 1061794236 1415725648 1592691354 2123588472 3185382708 4247176944 6370765416 12741530832