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12535513812 = 22321429243673
BaseRepresentation
bin10111010110010110…
…01100001011010100
31012100121210002012100
423223023030023110
5201133042420222
65431515322100
7622433052333
oct135313141324
935317702170
1012535513812
115352a75078
12251a150330
13124a0a24c3
1486cbb9d1a
154d57a14ac
hex2eb2cc2d4

12535513812 has 36 divisors (see below), whose sum is σ = 31709297620. Its totient is φ = 4175563392.

The previous prime is 12535513789. The next prime is 12535513817. The reversal of 12535513812 is 21831553521.

12535513812 is a `hidden beast` number, since 1 + 25 + 3 + 551 + 3 + 81 + 2 = 666.

12535513812 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 2 ways, for example, as 3915505476 + 8620008336 = 62574^2 + 92844^2 .

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

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 (12535513817) 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 11 ways as a sum of consecutive naturals, for example, 70393 + ... + 173280.

Almost surely, 212535513812 is an apocalyptic number.

12535513812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12535513812 is an abundant number, since it is smaller than the sum of its proper divisors (19173783808).

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

12535513812 is a wasteful number, since it uses less digits than its factorization.

12535513812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245112 (or 245107 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The spelling of 12535513812 in words is "twelve billion, five hundred thirty-five million, five hundred thirteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1429 2858 4287 5716 8574 12861 17148 25722 51444 243673 487346 731019 974692 1462038 2193057 2924076 4386114 8772228 348208717 696417434 1044626151 1392834868 2089252302 3133878453 4178504604 6267756906 12535513812