Base | Representation |
---|---|
bin | 1000001101000000110111… |
… | …01110011100111000100000 |
3 | 2100212112122202211010221120 |
4 | 10012200123232130320200 |
5 | 4331024020404224320 |
6 | 102211053000252240 |
7 | 3541204234240200 |
oct | 406403356347040 |
9 | 70775582733846 |
10 | 18039327804960 |
11 | 5825488297200 |
12 | 2034186471080 |
13 | a0b141779697 |
14 | 46517299c400 |
15 | 21439e861440 |
hex | 10681bb9ce20 |
18039327804960 has 1728 divisors, whose sum is σ = 76055060616192. Its totient is φ = 3576545280000.
The previous prime is 18039327804941. The next prime is 18039327804989. The reversal of 18039327804960 is 6940872393081.
It is a Harshad number since it is a multiple of its sum of digits (60).
It is a junction number, because it is equal to n+sod(n) for n = 18039327804894 and 18039327804903.
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 287 ways as a sum of consecutive naturals, for example, 6440315560 + ... + 6440318360.
It is an arithmetic number, because the mean of its divisors is an integer number (44013345264).
Almost surely, 218039327804960 is an apocalyptic number.
18039327804960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 18039327804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38027530308096).
18039327804960 is an abundant number, since it is smaller than the sum of its proper divisors (58015732811232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18039327804960 is a wasteful number, since it uses less digits than its factorization.
18039327804960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2959 (or 2933 counting only the distinct ones).
The product of its (nonzero) digits is 15676416, while the sum is 60.
The spelling of 18039327804960 in words is "eighteen trillion, thirty-nine billion, three hundred twenty-seven million, eight hundred four thousand, nine hundred sixty".
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