Base | Representation |
---|---|
bin | 100111110101110… |
… | …100000000000000 |
3 | 1201120202011012000 |
4 | 213311310000000 |
5 | 2332103334143 |
6 | 150154304000 |
7 | 22364313444 |
oct | 4765640000 |
9 | 1646664160 |
10 | 668418048 |
11 | 313339411 |
12 | 167a28000 |
13 | a863234c |
14 | 64ab6824 |
15 | 3da34bd3 |
hex | 27d74000 |
668418048 has 120 divisors (see below), whose sum is σ = 1981748160. Its totient is φ = 222658560.
The previous prime is 668418031. The next prime is 668418077. The reversal of 668418048 is 840814866.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 668417994 and 668418012.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441613 + ... + 443123.
It is an arithmetic number, because the mean of its divisors is an integer number (16514568).
Almost surely, 2668418048 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 668418048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990874080).
668418048 is an abundant number, since it is smaller than the sum of its proper divisors (1313330112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
668418048 is an equidigital number, since it uses as much as digits as its factorization.
668418048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1548 (or 1516 counting only the distinct ones).
The product of its (nonzero) digits is 294912, while the sum is 45.
The square root of 668418048 is about 25853.7820830918. The cubic root of 668418048 is about 874.3447820805.
The spelling of 668418048 in words is "six hundred sixty-eight million, four hundred eighteen thousand, forty-eight".
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