| Base | Representation |
|---|---|
| bin | 10011111010011100010… |
| … | …10100111111000000000 |
| 3 | 2102102001212002122102000 |
| 4 | 21331032022213320000 |
| 5 | 42202231032121210 |
| 6 | 1242153340424000 |
| 7 | 100301251210020 |
| oct | 11751612477000 |
| 9 | 2372055078360 |
| 10 | 684211207680 |
| 11 | 244199431300 |
| 12 | b0730b48000 |
| 13 | 4c6a0393490 |
| 14 | 2518a431a80 |
| 15 | 12be7dd1ac0 |
| hex | 9f4e2a7e00 |
684211207680 has 3840 divisors, whose sum is σ = 3510975283200. Its totient is φ = 122624409600.
The previous prime is 684211207679. The next prime is 684211207681. The reversal of 684211207680 is 86702112486.
684211207680 is a `hidden beast` number, since 68 + 421 + 1 + 20 + 76 + 80 = 666.
It is an interprime number because it is at equal distance from previous prime (684211207679) and next prime (684211207681).
It is a tau number, because it is divible by the number of its divisors (3840).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (684211207681) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22071329265 + ... + 22071329295.
It is an arithmetic number, because the mean of its divisors is an integer number (914316480).
Almost surely, 2684211207680 is an apocalyptic number.
684211207680 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 684211207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755487641600).
684211207680 is an abundant number, since it is smaller than the sum of its proper divisors (2826764075520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
684211207680 is a wasteful number, since it uses less digits than its factorization.
684211207680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 134 (or 101 counting only the distinct ones).
The product of its (nonzero) digits is 258048, while the sum is 45.
The spelling of 684211207680 in words is "six hundred eighty-four billion, two hundred eleven million, two hundred seven thousand, six hundred eighty".
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