| Base | Representation |
|---|---|
| bin | 1100000111001100100… |
| … | …0101011001000000000 |
| 3 | 201220010011012112012020 |
| 4 | 3001303020223020000 |
| 5 | 11402132030140330 |
| 6 | 235332324401440 |
| 7 | 21014444346162 |
| oct | 3016310531000 |
| 9 | 656104175166 |
| 10 | 208090083840 |
| 11 | 80283477a01 |
| 12 | 343b4b46280 |
| 13 | 16813413432 |
| 14 | a100718932 |
| 15 | 562d816210 |
| hex | 307322b200 |
208090083840 has 160 divisors (see below), whose sum is σ = 683218324800. Its totient is φ = 53990866944.
The previous prime is 208090083833. The next prime is 208090083847. The reversal of 208090083840 is 48380090802.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (208090083833) and next prime (208090083847).
It is a tau number, because it is divible by the number of its divisors (160).
It is a junction number, because it is equal to n+sod(n) for n = 208090083792 and 208090083801.
It is not an unprimeable number, because it can be changed into a prime (208090083847) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 81990 + ... + 650309.
It is an arithmetic number, because the mean of its divisors is an integer number (4270114530).
Almost surely, 2208090083840 is an apocalyptic number.
208090083840 is a gapful number since it is divisible by the number (20) 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 208090083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341609162400).
208090083840 is an abundant number, since it is smaller than the sum of its proper divisors (475128240960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
208090083840 is an equidigital number, since it uses as much as digits as its factorization.
208090083840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 732362 (or 732346 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 42.
The spelling of 208090083840 in words is "two hundred eight billion, ninety million, eighty-three thousand, eight hundred forty".
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