| Base | Representation |
|---|---|
| bin | 10000011011011100011100… |
| … | …10011100010011100000000 |
| 3 | 11201220202000122200020022000 |
| 4 | 20031232032103202130000 |
| 5 | 14213402311444204440 |
| 6 | 204500402345344000 |
| 7 | 10416054411143001 |
| oct | 1015561623423400 |
| 9 | 151822018606260 |
| 10 | 36127357413120 |
| 11 | 1056958746aa36 |
| 12 | 4075882a98000 |
| 13 | 1720a4503c79c |
| 14 | 8cc8056b91a8 |
| 15 | 429b4ead1730 |
| hex | 20db8e4e2700 |
36127357413120 has 1152 divisors, whose sum is σ = 140651253792000. Its totient is φ = 8740436705280.
The previous prime is 36127357413107. The next prime is 36127357413127. The reversal of 36127357413120 is 2131475372163.
36127357413120 is a `hidden beast` number, since 3 + 6 + 1 + 2 + 73 + 574 + 1 + 3 + 1 + 2 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36127357413127) 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 127 ways as a sum of consecutive naturals, for example, 13783805410 + ... + 13783808030.
It is an arithmetic number, because the mean of its divisors is an integer number (122093102250).
Almost surely, 236127357413120 is an apocalyptic number.
36127357413120 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 36127357413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70325626896000).
36127357413120 is an abundant number, since it is smaller than the sum of its proper divisors (104523896378880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36127357413120 is a wasteful number, since it uses less digits than its factorization.
36127357413120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3506 (or 3486 counting only the distinct ones).
The product of its (nonzero) digits is 635040, while the sum is 45.
The spelling of 36127357413120 in words is "thirty-six trillion, one hundred twenty-seven billion, three hundred fifty-seven million, four hundred thirteen thousand, one hundred twenty".
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