| Base | Representation |
|---|---|
| bin | 1100101110100110… |
| … | …00001001110000000 |
| 3 | 122122020002020201100 |
| 4 | 12113103001032000 |
| 5 | 102443312001030 |
| 6 | 3050021334400 |
| 7 | 331223125200 |
| oct | 62723011600 |
| 9 | 18566066640 |
| 10 | 6833312640 |
| 11 | 2997254a20 |
| 12 | 13a8567400 |
| 13 | 84b91367b |
| 14 | 48b76a400 |
| 15 | 29ed90360 |
| hex | 1974c1380 |
6833312640 has 1152 divisors, whose sum is σ = 31345367040. Its totient is φ = 1354752000.
The previous prime is 6833312573. The next prime is 6833312653. The reversal of 6833312640 is 462133386.
6833312640 is a `hidden beast` number, since 6 + 8 + 3 + 3 + 3 + 1 + 2 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
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 = 6833312595 and 6833312604.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96243805 + ... + 96243875.
It is an arithmetic number, because the mean of its divisors is an integer number (27209520).
Almost surely, 26833312640 is an apocalyptic number.
6833312640 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 6833312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15672683520).
6833312640 is an abundant number, since it is smaller than the sum of its proper divisors (24512054400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6833312640 is a wasteful number, since it uses less digits than its factorization.
6833312640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 152 (or 130 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 36.
The square root of 6833312640 is about 82663.8532854597. The cubic root of 6833312640 is about 1897.6251621627.
The spelling of 6833312640 in words is "six billion, eight hundred thirty-three million, three hundred twelve thousand, six hundred forty".
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