Base | Representation |
---|---|
bin | 10001100101100110… |
… | …11110100000000000 |
3 | 220101001100000101000 |
4 | 20302303132200000 |
5 | 123314211232124 |
6 | 4200541012000 |
7 | 452663065203 |
oct | 106263364000 |
9 | 26331300330 |
10 | 9442289664 |
11 | 4005a20a85 |
12 | 19b6254000 |
13 | b762aa662 |
14 | 65806793a |
15 | 3a3e456c9 |
hex | 232cde800 |
9442289664 has 96 divisors (see below), whose sum is σ = 27970488000. Its totient is φ = 3147411456.
The previous prime is 9442289663. The next prime is 9442289669. The reversal of 9442289664 is 4669822449.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 9442289664.
It is not an unprimeable number, because it can be changed into a prime (9442289663) 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 7 ways as a sum of consecutive naturals, for example, 30084 + ... + 140675.
It is an arithmetic number, because the mean of its divisors is an integer number (291359250).
Almost surely, 29442289664 is an apocalyptic number.
It is an amenable number.
9442289664 is an abundant number, since it is smaller than the sum of its proper divisors (18528198336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9442289664 is a wasteful number, since it uses less digits than its factorization.
9442289664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 170790 (or 170764 counting only the distinct ones).
The product of its digits is 5971968, while the sum is 54.
The square root of 9442289664 is about 97171.4446944163. Note that the first 3 decimals coincide. The cubic root of 9442289664 is about 2113.6144680233.
The spelling of 9442289664 in words is "nine billion, four hundred forty-two million, two hundred eighty-nine thousand, six hundred sixty-four".
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