Base | Representation |
---|---|
bin | 1111111011111… |
… | …0100110110000 |
3 | 11122202212121220 |
4 | 3332332212300 |
5 | 114102403013 |
6 | 10344345040 |
7 | 1441065513 |
oct | 376764660 |
9 | 148685556 |
10 | 66841008 |
11 | 34803703 |
12 | 1a475180 |
13 | 10b039c0 |
14 | 8c3cd7a |
15 | 5d04b23 |
hex | 3fbe9b0 |
66841008 has 80 divisors (see below), whose sum is σ = 196924896. Its totient is φ = 19353600.
The previous prime is 66841007. The next prime is 66841037. The reversal of 66841008 is 80014866.
It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 66841008.
It is not an unprimeable number, because it can be changed into a prime (66841001) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 7458 + ... + 13758.
Almost surely, 266841008 is an apocalyptic number.
66841008 is a gapful number since it is divisible by the number (68) 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 66841008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98462448).
66841008 is an abundant number, since it is smaller than the sum of its proper divisors (130083888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66841008 is a wasteful number, since it uses less digits than its factorization.
66841008 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6342 (or 6336 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 33.
The square root of 66841008 is about 8175.6350212078. The cubic root of 66841008 is about 405.8332851071.
The spelling of 66841008 in words is "sixty-six million, eight hundred forty-one thousand, eight".
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