Base | Representation |
---|---|
bin | 100001101111001010… |
… | …000111111001000000 |
3 | 10110111120002112220001 |
4 | 201233022013321000 |
5 | 1043142003204404 |
6 | 24350312125344 |
7 | 2421452361460 |
oct | 415712077100 |
9 | 113446075801 |
10 | 36224663104 |
11 | 143a9972603 |
12 | 702b696854 |
13 | 3553b71bc6 |
14 | 1a79019ba0 |
15 | e2033d7a4 |
hex | 86f287e40 |
36224663104 has 112 divisors (see below), whose sum is σ = 86641228800. Its totient is φ = 14679691776.
The previous prime is 36224663099. The next prime is 36224663107. The reversal of 36224663104 is 40136642263.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (112).
It is not an unprimeable number, because it can be changed into a prime (36224663107) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4788477 + ... + 4796035.
It is an arithmetic number, because the mean of its divisors is an integer number (773582400).
Almost surely, 236224663104 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 36224663104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43320614400).
36224663104 is an abundant number, since it is smaller than the sum of its proper divisors (50416565696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36224663104 is a wasteful number, since it uses less digits than its factorization.
36224663104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8160 (or 8150 counting only the distinct ones).
The product of its (nonzero) digits is 124416, while the sum is 37.
The spelling of 36224663104 in words is "thirty-six billion, two hundred twenty-four million, six hundred sixty-three thousand, one hundred four".
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