Base | Representation |
---|---|
bin | 1111000111011… |
… | …0010100000000 |
3 | 11102022000022100 |
4 | 3301312110000 |
5 | 112212233133 |
6 | 10142510400 |
7 | 1366612140 |
oct | 361662400 |
9 | 142260270 |
10 | 63399168 |
11 | 32872808 |
12 | 19295400 |
13 | 1019a201 |
14 | 85c4920 |
15 | 5874e13 |
hex | 3c76500 |
63399168 has 108 divisors (see below), whose sum is σ = 208962208. Its totient is φ = 18109440.
The previous prime is 63399163. The next prime is 63399169. The reversal of 63399168 is 86199336.
63399168 is a `hidden beast` number, since 633 + 9 + 9 + 1 + 6 + 8 = 666.
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 nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (63399163) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 14163 + ... + 18093.
Almost surely, 263399168 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 63399168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104481104).
63399168 is an abundant number, since it is smaller than the sum of its proper divisors (145563040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63399168 is a wasteful number, since it uses less digits than its factorization.
63399168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3960 (or 3943 counting only the distinct ones).
The product of its digits is 209952, while the sum is 45.
The square root of 63399168 is about 7962.3594493090. The cubic root of 63399168 is about 398.7443290173.
The spelling of 63399168 in words is "sixty-three million, three hundred ninety-nine thousand, one hundred sixty-eight".
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