Base | Representation |
---|---|
bin | 11101111110101011… |
… | …010010100000110010 |
3 | 10002002101020212212100 |
4 | 131332223102200302 |
5 | 1011411123021211 |
6 | 22442104241230 |
7 | 2216461616223 |
oct | 357653224062 |
9 | 102071225770 |
10 | 32190048306 |
11 | 12719496809 |
12 | 62a4470216 |
13 | 3060020b80 |
14 | 17b525524a |
15 | c8602c156 |
hex | 77ead2832 |
32190048306 has 96 divisors (see below), whose sum is σ = 76653328752. Its totient is φ = 9701752320.
The previous prime is 32190048299. The next prime is 32190048353. The reversal of 32190048306 is 60384009123.
It can be written as a sum of positive squares in 8 ways, for example, as 22272876081 + 9917172225 = 149241^2 + 99585^2 .
It is a super-2 number, since 2×321900483062 (a number of 22 digits) contains 22 as substring.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9088896 + ... + 9092436.
Almost surely, 232190048306 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 32190048306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38326664376).
32190048306 is an abundant number, since it is smaller than the sum of its proper divisors (44463280446).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32190048306 is a wasteful number, since it uses less digits than its factorization.
32190048306 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4348 (or 4345 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The spelling of 32190048306 in words is "thirty-two billion, one hundred ninety million, forty-eight thousand, three hundred six".
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