| Base | Representation |
|---|---|
| bin | 1110111010101101… |
| … | …00010100010000000 |
| 3 | 202200010200002122000 |
| 4 | 13131112202202000 |
| 5 | 112400203000030 |
| 6 | 3402404544000 |
| 7 | 402314215350 |
| oct | 73526424200 |
| 9 | 22603602560 |
| 10 | 8008640640 |
| 11 | 343a73a280 |
| 12 | 16760b2000 |
| 13 | 9a827a020 |
| 14 | 55d8b6b60 |
| 15 | 31d155860 |
| hex | 1dd5a2880 |
8008640640 has 1024 divisors, whose sum is σ = 38165299200. Its totient is φ = 1532805120.
The previous prime is 8008640617. The next prime is 8008640669. The reversal of 8008640640 is 460468008.
8008640640 is a `hidden beast` number, since 8 + 0 + 0 + 8 + 6 + 4 + 0 + 640 = 666.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a junction number, because it is equal to n+sod(n) for n = 8008640595 and 8008640604.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17297049 + ... + 17297511.
It is an arithmetic number, because the mean of its divisors is an integer number (37270800).
Almost surely, 28008640640 is an apocalyptic number.
8008640640 is a gapful number since it is divisible by the number (80) 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 8008640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19082649600).
8008640640 is an abundant number, since it is smaller than the sum of its proper divisors (30156658560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8008640640 is a wasteful number, since it uses less digits than its factorization.
8008640640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 522 (or 504 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The square root of 8008640640 is about 89491.0087103727. The cubic root of 8008640640 is about 2000.7197942504.
The spelling of 8008640640 in words is "eight billion, eight million, six hundred forty thousand, six hundred forty".
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