Base | Representation |
---|---|
bin | 1111001000011… |
… | …0101110110000 |
3 | 11102102102120000 |
4 | 3302012232300 |
5 | 112221411131 |
6 | 10144150000 |
7 | 1400312166 |
oct | 362065660 |
9 | 142372500 |
10 | 63466416 |
11 | 32909292 |
12 | 19308300 |
13 | 101c19c0 |
14 | 8601236 |
15 | 5889ce6 |
hex | 3c86bb0 |
63466416 has 100 divisors (see below), whose sum is σ = 197872752. Its totient is φ = 19522944.
The previous prime is 63466397. The next prime is 63466463. The reversal of 63466416 is 61466436.
63466416 is a `hidden beast` number, since 6 + 3 + 4 + 6 + 641 + 6 = 666.
63466416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14965 + ... + 18731.
Almost surely, 263466416 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 63466416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98936376).
63466416 is an abundant number, since it is smaller than the sum of its proper divisors (134406336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63466416 is a wasteful number, since it uses less digits than its factorization.
63466416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3800 (or 3785 counting only the distinct ones).
The product of its digits is 62208, while the sum is 36.
The square root of 63466416 is about 7966.5811989837. The cubic root of 63466416 is about 398.8852629558.
The spelling of 63466416 in words is "sixty-three million, four hundred sixty-six thousand, four hundred sixteen".
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