| Base | Representation |
|---|---|
| bin | 10000011100000011011110… |
| … | …11010100001111100000000 |
| 3 | 11201222202010011011120210000 |
| 4 | 20032001233122201330000 |
| 5 | 14214223221340120424 |
| 6 | 204514150045440000 |
| 7 | 10420425630121320 |
| oct | 1016015732417400 |
| 9 | 151882104146700 |
| 10 | 36148313988864 |
| 11 | 10577460953520 |
| 12 | 4079951270000 |
| 13 | 1722a0495c26c |
| 14 | 8cd832a47280 |
| 15 | 42a4798023c9 |
| hex | 20e06f6a1f00 |
36148313988864 has 720 divisors, whose sum is σ = 134486639400960. Its totient is φ = 9382051307520.
The previous prime is 36148313988863. The next prime is 36148313988877. The reversal of 36148313988864 is 46888931384163.
36148313988864 is a `hidden beast` number, since 3 + 6 + 1 + 483 + 1 + 3 + 9 + 8 + 88 + 64 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 36148313988792 and 36148313988801.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36148313988863) by changing a digit.
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 79 ways as a sum of consecutive naturals, for example, 2297603142 + ... + 2297618874.
It is an arithmetic number, because the mean of its divisors is an integer number (186786999168).
Almost surely, 236148313988864 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 36148313988864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67243319700480).
36148313988864 is an abundant number, since it is smaller than the sum of its proper divisors (98338325412096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36148313988864 is a wasteful number, since it uses less digits than its factorization.
36148313988864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17218 (or 17195 counting only the distinct ones).
The product of its digits is 573308928, while the sum is 72.
The spelling of 36148313988864 in words is "thirty-six trillion, one hundred forty-eight billion, three hundred thirteen million, nine hundred eighty-eight thousand, eight hundred sixty-four".
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