| Base | Representation |
|---|---|
| bin | 1100101100001100… |
| … | …11111111101000000 |
| 3 | 122120211100010200000 |
| 4 | 12112012133331000 |
| 5 | 102423143102230 |
| 6 | 3044023400000 |
| 7 | 330560461440 |
| oct | 62606377500 |
| 9 | 18524303600 |
| 10 | 6813253440 |
| 11 | 29869a4174 |
| 12 | 13a18b3000 |
| 13 | 84770c316 |
| 14 | 488c28120 |
| 15 | 29d22bb60 |
| hex | 19619ff40 |
6813253440 has 336 divisors, whose sum is σ = 27776740992. Its totient is φ = 1557190656.
The previous prime is 6813253399. The next prime is 6813253451. The reversal of 6813253440 is 443523186.
6813253440 is a `hidden beast` number, since 6 + 81 + 3 + 2 + 534 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (336).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 6813253395 and 6813253404.
It is a congruent number.
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 47 ways as a sum of consecutive naturals, for example, 538062 + ... + 550578.
It is an arithmetic number, because the mean of its divisors is an integer number (82668872).
Almost surely, 26813253440 is an apocalyptic number.
6813253440 is a gapful number since it is divisible by the number (60) 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 6813253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13888370496).
6813253440 is an abundant number, since it is smaller than the sum of its proper divisors (20963487552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6813253440 is a wasteful number, since it uses less digits than its factorization.
6813253440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12556 (or 12534 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The square root of 6813253440 is about 82542.4341778215. The cubic root of 6813253440 is about 1895.7665150715.
The spelling of 6813253440 in words is "six billion, eight hundred thirteen million, two hundred fifty-three thousand, four hundred forty".
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