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12813240492 = 22321327378719
BaseRepresentation
bin10111110111011101…
…01000100010101100
31020001222101001120200
423323232220202230
5202220142143432
65515240113500
7632344514163
oct137356504254
936058331520
1012813240492
115485816258
122597165890
1312927a2210
14897a323da
154eed60a7c
hex2fbba88ac

12813240492 has 36 divisors (see below), whose sum is σ = 34880489280. Its totient is φ = 3942535392.

The previous prime is 12813240481. The next prime is 12813240523. The reversal of 12813240492 is 29404231821.

12813240492 is a `hidden beast` number, since 128 + 1 + 3 + 2 + 40 + 492 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13688892 + ... + 13689827.

It is an arithmetic number, because the mean of its divisors is an integer number (968902480).

Almost surely, 212813240492 is an apocalyptic number.

12813240492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12813240492 is an abundant number, since it is smaller than the sum of its proper divisors (22067248788).

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

12813240492 is a wasteful number, since it uses less digits than its factorization.

12813240492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27378742 (or 27378737 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12813240492 in words is "twelve billion, eight hundred thirteen million, two hundred forty thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 27378719 54757438 82136157 109514876 164272314 246408471 328544628 355923347 492816942 711846694 985633884 1067770041 1423693388 2135540082 3203310123 4271080164 6406620246 12813240492