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12542527431 = 337109608831
BaseRepresentation
bin10111010111001011…
…11100011111000111
31012101002222102002000
423223211330133013
5201141341334211
65432325520343
7622546503240
oct135345743707
935332872060
1012542527431
115356a25555
1225205730b3
13124b689985
1486dac3cc7
154d61d9656
hex2eb97c7c7

12542527431 has 32 divisors (see below), whose sum is σ = 21430886400. Its totient is φ = 7101393120.

The previous prime is 12542527397. The next prime is 12542527441. The reversal of 12542527431 is 13472524521.

12542527431 is a `hidden beast` number, since 12 + 542 + 5 + 2 + 74 + 31 = 666.

It is not a de Polignac number, because 12542527431 - 213 = 12542519239 is a prime.

It is a super-2 number, since 2×125425274312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12542527441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283815 + ... + 325016.

It is an arithmetic number, because the mean of its divisors is an integer number (669715200).

Almost surely, 212542527431 is an apocalyptic number.

12542527431 is a deficient number, since it is larger than the sum of its proper divisors (8888358969).

12542527431 is a wasteful number, since it uses less digits than its factorization.

12542527431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608956 (or 608950 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The spelling of 12542527431 in words is "twelve billion, five hundred forty-two million, five hundred twenty-seven thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 109 189 327 763 981 2289 2943 6867 20601 608831 1826493 4261817 5479479 12785451 16438437 38356353 66362579 115069059 199087737 464538053 597263211 1393614159 1791789633 4180842477 12542527431