Base | Representation |
---|---|
bin | 1111000010111… |
… | …1101110000000 |
3 | 11101202022200000 |
4 | 3300233232000 |
5 | 112124010031 |
6 | 10132400000 |
7 | 1364266134 |
oct | 360575600 |
9 | 141668600 |
10 | 63110016 |
11 | 32695542 |
12 | 19176000 |
13 | 100c8708 |
14 | 854b3c4 |
15 | 58193e6 |
hex | 3c2fb80 |
63110016 has 96 divisors (see below), whose sum is σ = 188424600. Its totient is φ = 21026304.
The previous prime is 63110011. The next prime is 63110053. The reversal of 63110016 is 61001136.
63110016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (63110011) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 30090 + ... + 32118.
Almost surely, 263110016 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 63110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94212300).
63110016 is an abundant number, since it is smaller than the sum of its proper divisors (125314584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63110016 is an equidigital number, since it uses as much as digits as its factorization.
63110016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2058 (or 2034 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
The square root of 63110016 is about 7944.1812668141. The cubic root of 63110016 is about 398.1372051212.
The spelling of 63110016 in words is "sixty-three million, one hundred ten thousand, sixteen".
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