Base | Representation |
---|---|
bin | 100111110110101… |
… | …111111010000000 |
3 | 1201121012121210000 |
4 | 213312233322000 |
5 | 2332134212144 |
6 | 150203440000 |
7 | 22366355022 |
oct | 4766577200 |
9 | 1647177700 |
10 | 668663424 |
11 | 313496800 |
12 | 167b26000 |
13 | a86b9c40 |
14 | 64b3c012 |
15 | 3da82769 |
hex | 27dafe80 |
668663424 has 480 divisors, whose sum is σ = 2412984420. Its totient is φ = 182476800.
The previous prime is 668663419. The next prime is 668663441. The reversal of 668663424 is 424366866.
668663424 is a `hidden beast` number, since 6 + 6 + 8 + 6 + 634 + 2 + 4 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 527529024 + 141134400 = 22968^2 + 11880^2 .
It is a super-2 number, since 2×6686634242 = 894221549190807552, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 668663424.
It is an unprimeable number.
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 59 ways as a sum of consecutive naturals, for example, 16308844 + ... + 16308884.
Almost surely, 2668663424 is an apocalyptic number.
668663424 is a gapful number since it is divisible by the number (64) 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 668663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206492210).
668663424 is an abundant number, since it is smaller than the sum of its proper divisors (1744320996).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
668663424 is a wasteful number, since it uses less digits than its factorization.
668663424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 102 (or 70 counting only the distinct ones).
The product of its digits is 995328, while the sum is 45.
The square root of 668663424 is about 25858.5271042262. The cubic root of 668663424 is about 874.4517595319.
The spelling of 668663424 in words is "six hundred sixty-eight million, six hundred sixty-three thousand, four hundred twenty-four".
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