| Base | Representation |
|---|---|
| bin | 11001011111011001… |
| … | …10110110010000000 |
| 3 | 1022022202002200010000 |
| 4 | 30233230312302000 |
| 5 | 211011402033020 |
| 6 | 10141545040000 |
| 7 | 663063123264 |
| oct | 145754666200 |
| 9 | 38282080100 |
| 10 | 13685189760 |
| 11 | 5892a29690 |
| 12 | 279b186000 |
| 13 | 13a1326c28 |
| 14 | 93b76a0a4 |
| 15 | 55169b090 |
| hex | 32fb36c80 |
13685189760 has 640 divisors, whose sum is σ = 54063884160. Its totient is φ = 3271311360.
The previous prime is 13685189759. The next prime is 13685189789. The reversal of 13685189760 is 6798158631.
13685189760 is a `hidden beast` number, since 1 + 3 + 68 + 518 + 9 + 7 + 60 = 666.
13685189760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (640).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 13685189697 and 13685189706.
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 79 ways as a sum of consecutive naturals, for example, 58734604 + ... + 58734836.
It is an arithmetic number, because the mean of its divisors is an integer number (84474819).
Almost surely, 213685189760 is an apocalyptic number.
13685189760 is a gapful number since it is divisible by the number (10) 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 13685189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27031942080).
13685189760 is an abundant number, since it is smaller than the sum of its proper divisors (40378694400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13685189760 is a wasteful number, since it uses less digits than its factorization.
13685189760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 378 (or 357 counting only the distinct ones).
The product of its (nonzero) digits is 2177280, while the sum is 54.
The spelling of 13685189760 in words is "thirteen billion, six hundred eighty-five million, one hundred eighty-nine thousand, seven hundred sixty".
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