Base | Representation |
---|---|
bin | 100001101011110011… |
… | …100110110101010000 |
3 | 10110100122021120001000 |
4 | 201223303212311100 |
5 | 1043033104211010 |
6 | 24340542542000 |
7 | 2420200400343 |
oct | 415363466520 |
9 | 113318246030 |
10 | 36168428880 |
11 | 14380153a41 |
12 | 7014897900 |
13 | 354531300c |
14 | 1a7177c45a |
15 | e1a4317c0 |
hex | 86bce6d50 |
36168428880 has 640 divisors, whose sum is σ = 141933772800. Its totient is φ = 8409194496.
The previous prime is 36168428873. The next prime is 36168428977. The reversal of 36168428880 is 8882486163.
36168428880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32790409 + ... + 32791511.
It is an arithmetic number, because the mean of its divisors is an integer number (221771520).
Almost surely, 236168428880 is an apocalyptic number.
36168428880 is a gapful number since it is divisible by the number (30) 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 36168428880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70966886400).
36168428880 is an abundant number, since it is smaller than the sum of its proper divisors (105765343920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36168428880 is a wasteful number, since it uses less digits than its factorization.
36168428880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1208 (or 1196 counting only the distinct ones).
The product of its (nonzero) digits is 3538944, while the sum is 54.
The spelling of 36168428880 in words is "thirty-six billion, one hundred sixty-eight million, four hundred twenty-eight thousand, eight hundred eighty".
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