Base | Representation |
---|---|
bin | 10010100101111111… |
… | …01011011000100000 |
3 | 221202200120101022200 |
4 | 21102333223120200 |
5 | 130420440442242 |
6 | 4330312333200 |
7 | 502241436450 |
oct | 112277533040 |
9 | 27680511280 |
10 | 9982359072 |
11 | 4262866134 |
12 | 1b270a4200 |
13 | c31151a5a |
14 | 6a9a8dd60 |
15 | 3d657604c |
hex | 252feb620 |
9982359072 has 72 divisors (see below), whose sum is σ = 32442673536. Its totient is φ = 2852102016.
The previous prime is 9982359071. The next prime is 9982359077. The reversal of 9982359072 is 2709532899.
9982359072 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 (72).
It is not an unprimeable number, because it can be changed into a prime (9982359071) 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 11 ways as a sum of consecutive naturals, for example, 2473768 + ... + 2477799.
It is an arithmetic number, because the mean of its divisors is an integer number (450592688).
Almost surely, 29982359072 is an apocalyptic number.
It is an amenable number.
9982359072 is an abundant number, since it is smaller than the sum of its proper divisors (22460314464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9982359072 is a wasteful number, since it uses less digits than its factorization.
9982359072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4951590 (or 4951579 counting only the distinct ones).
The product of its (nonzero) digits is 2449440, while the sum is 54.
The square root of 9982359072 is about 99911.7564253577. The cubic root of 9982359072 is about 2153.1670700981.
The spelling of 9982359072 in words is "nine billion, nine hundred eighty-two million, three hundred fifty-nine thousand, seventy-two".
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