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12836132478 = 23313102117909
BaseRepresentation
bin10111111010001011…
…11101011001111110
31020010120110002111000
423331011331121332
5202242022214403
65521414511130
7633043216521
oct137505753176
936116402430
1012836132478
115497731354
1225a29654a6
131297458a80
1489aab0bb8
15501d837a3
hex2fd17d67e

12836132478 has 64 divisors (see below), whose sum is σ = 30750753600. Its totient is φ = 3945490560.

The previous prime is 12836132471. The next prime is 12836132539. The reversal of 12836132478 is 87423163821.

12836132478 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 613 + 24 + 7 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12836132471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707788 + ... + 725696.

It is an arithmetic number, because the mean of its divisors is an integer number (480480525).

Almost surely, 212836132478 is an apocalyptic number.

12836132478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12836132478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15375376800).

12836132478 is an abundant number, since it is smaller than the sum of its proper divisors (17914621122).

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

12836132478 is a wasteful number, since it uses less digits than its factorization.

12836132478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18954 (or 18948 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 12836132478 in words is "twelve billion, eight hundred thirty-six million, one hundred thirty-two thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1021 2042 3063 6126 9189 13273 17909 18378 26546 27567 35818 39819 53727 55134 79638 107454 119457 161181 232817 238914 322362 358371 465634 483543 698451 716742 967086 1396902 2095353 4190706 6286059 12572118 18285089 36570178 54855267 109710534 164565801 237706157 329131602 475412314 493697403 713118471 987394806 1426236942 2139355413 4278710826 6418066239 12836132478