Base | Representation |
---|---|
bin | 1011000011010001111… |
… | …0001100000100000000 |
3 | 200011001120222220211011 |
4 | 2300310132030010000 |
5 | 11102312333434414 |
6 | 223115302530304 |
7 | 16500610636411 |
oct | 2606436140400 |
9 | 604046886734 |
10 | 189858889984 |
11 | 73578437145 |
12 | 30967436994 |
13 | 14b9932636a |
14 | 9291309808 |
15 | 4e12ee0dc4 |
hex | 2c3478c100 |
189858889984 has 81 divisors (see below), whose sum is σ = 383952731799. Its totient is φ = 93698949120.
The previous prime is 189858889973. The next prime is 189858890009. The reversal of 189858889984 is 489988858981.
The square root of 189858889984 is 435728.
It is a perfect power (a square), and thus also a powerful number.
189858889984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 27185414400 + 162673475584 = 164880^2 + 403328^2 .
It is a Duffinian number.
It is an unprimeable number.
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 8 ways as a sum of consecutive naturals, for example, 787796104 + ... + 787796344.
Almost surely, 2189858889984 is an apocalyptic number.
189858889984 is the 435728-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 189858889984
189858889984 is an abundant number, since it is smaller than the sum of its proper divisors (194093841815).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
189858889984 is an frugal number, since it uses more digits than its factorization.
189858889984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 724 (or 356 counting only the distinct ones).
The product of its digits is 3822059520, while the sum is 85.
The spelling of 189858889984 in words is "one hundred eighty-nine billion, eight hundred fifty-eight million, eight hundred eighty-nine thousand, nine hundred eighty-four".
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