| Base | Representation |
|---|---|
| bin | 11001110000111101… |
| … | …11100001110001000 |
| 3 | 1022201000100200111000 |
| 4 | 30320132330032020 |
| 5 | 211312112140333 |
| 6 | 10204331135000 |
| 7 | 666532424055 |
| oct | 147036741610 |
| 9 | 38630320430 |
| 10 | 13832536968 |
| 11 | 5959119838 |
| 12 | 28205a4460 |
| 13 | 13c5a07523 |
| 14 | 95316402c |
| 15 | 55e5a4713 |
| hex | 3387bc388 |
13832536968 has 128 divisors (see below), whose sum is σ = 38761200000. Its totient is φ = 4570546176.
The previous prime is 13832536901. The next prime is 13832537003. The reversal of 13832536968 is 86963523831.
It is a happy number.
13832536968 is a `hidden beast` number, since 1 + 383 + 253 + 6 + 9 + 6 + 8 = 666.
13832536968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 18717543 + ... + 18718281.
It is an arithmetic number, because the mean of its divisors is an integer number (302821875).
Almost surely, 213832536968 is an apocalyptic number.
13832536968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13832536968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19380600000).
13832536968 is an abundant number, since it is smaller than the sum of its proper divisors (24928663032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13832536968 is a wasteful number, since it uses less digits than its factorization.
13832536968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1396 (or 1386 counting only the distinct ones).
The product of its digits is 5598720, while the sum is 54.
The spelling of 13832536968 in words is "thirteen billion, eight hundred thirty-two million, five hundred thirty-six thousand, nine hundred sixty-eight".
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