Base | Representation |
---|---|
bin | 11110011110101010… |
… | …11010110100000000 |
3 | 1120020101121212111110 |
4 | 33033111122310000 |
5 | 232003012303243 |
6 | 11303420243320 |
7 | 1116333415563 |
oct | 171725326400 |
9 | 46211555443 |
10 | 16363400448 |
11 | 6a37792a4a |
12 | 32080a0540 |
13 | 170a151995 |
14 | b1332a4da |
15 | 65b879e33 |
hex | 3cf55ad00 |
16363400448 has 144 divisors (see below), whose sum is σ = 45121708800. Its totient is φ = 5260738560.
The previous prime is 16363400447. The next prime is 16363400453. The reversal of 16363400448 is 84400436361.
It is a happy number.
16363400448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (16363400447) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 2799513 + ... + 2805351.
It is an arithmetic number, because the mean of its divisors is an integer number (313345200).
Almost surely, 216363400448 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 16363400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22560854400).
16363400448 is an abundant number, since it is smaller than the sum of its proper divisors (28758308352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16363400448 is an equidigital number, since it uses as much as digits as its factorization.
16363400448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5988 (or 5974 counting only the distinct ones).
The product of its (nonzero) digits is 165888, while the sum is 39.
The spelling of 16363400448 in words is "sixteen billion, three hundred sixty-three million, four hundred thousand, four hundred forty-eight".
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