Base | Representation |
---|---|
bin | 1101000011010111000… |
… | …11011011101000000000 |
3 | 1120212121102012211200111 |
4 | 12201223203123220000 |
5 | 24321442122032323 |
6 | 542010201201104 |
7 | 44254531006312 |
oct | 6415343335000 |
9 | 1525542184614 |
10 | 448481049088 |
11 | 163221951116 |
12 | 72b03490194 |
13 | 333a37b2037 |
14 | 179c6c997b2 |
15 | b9ecc4dc0d |
hex | 686b8dba00 |
448481049088 has 80 divisors (see below), whose sum is σ = 905086695744. Its totient is φ = 221999104000.
The previous prime is 448481049083. The next prime is 448481049091. The reversal of 448481049088 is 880940184844.
It is a super-2 number, since 2×4484810490882 (a number of 24 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (448481049083) 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 7 ways as a sum of consecutive naturals, for example, 21451056 + ... + 21471952.
Almost surely, 2448481049088 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 448481049088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452543347872).
448481049088 is an abundant number, since it is smaller than the sum of its proper divisors (456605646656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
448481049088 is a wasteful number, since it uses less digits than its factorization.
448481049088 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21333 (or 21317 counting only the distinct ones).
The product of its (nonzero) digits is 9437184, while the sum is 58.
The spelling of 448481049088 in words is "four hundred forty-eight billion, four hundred eighty-one million, forty-nine thousand, eighty-eight".
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