| Base | Representation |
|---|---|
| bin | 10000110000001001011110… |
| … | …10110000111001110000000 |
| 3 | 11211102202012100111010210000 |
| 4 | 20120010233112013032000 |
| 5 | 14312031204034324210 |
| 6 | 210203251155440000 |
| 7 | 10521340020312000 |
| oct | 1030045726071600 |
| 9 | 154382170433700 |
| 10 | 36838728823680 |
| 11 | 108132430456a3 |
| 12 | 416b7138b6000 |
| 13 | 1772b53345714 |
| 14 | 91500ad32000 |
| 15 | 43d3d7140ac0 |
| hex | 21812f587380 |
36838728823680 has 2560 divisors, whose sum is σ = 159952320000000. Its totient is φ = 8066540224512.
The previous prime is 36838728823649. The next prime is 36838728823703. The reversal of 36838728823680 is 8632882783863.
36838728823680 is a `hidden beast` number, since 3 + 6 + 8 + 38 + 7 + 288 + 236 + 80 = 666.
36838728823680 is digitally balanced in base 5, 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 (72).
It is a junction number, because it is equal to n+sod(n) for n = 36838728823599 and 36838728823608.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 102614843341 + ... + 102614843699.
It is an arithmetic number, because the mean of its divisors is an integer number (62481375000).
Almost surely, 236838728823680 is an apocalyptic number.
36838728823680 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 36838728823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79976160000000).
36838728823680 is an abundant number, since it is smaller than the sum of its proper divisors (123113591176320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36838728823680 is a wasteful number, since it uses less digits than its factorization.
36838728823680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 639 (or 604 counting only the distinct ones).
The product of its (nonzero) digits is 891813888, while the sum is 72.
The spelling of 36838728823680 in words is "thirty-six trillion, eight hundred thirty-eight billion, seven hundred twenty-eight million, eight hundred twenty-three thousand, six hundred eighty".
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