| Base | Representation |
|---|---|
| bin | 1100010010001001111001… |
| … | …11011101011001000000000 |
| 3 | 10112122022212201021100000000 |
| 4 | 12021010330323223020000 |
| 5 | 12020031210312210030 |
| 6 | 133241101400000000 |
| 7 | 5455362213140100 |
| oct | 611047473531000 |
| 9 | 115568781240000 |
| 10 | 27012071600640 |
| 11 | 8674834240635 |
| 12 | 3043154160000 |
| 13 | 120c2c5853109 |
| 14 | 6955697cd200 |
| 15 | 31c9a524a860 |
| hex | 18913ceeb200 |
27012071600640 has 2160 divisors, whose sum is σ = 117999568919232. Its totient is φ = 5901606273024.
The previous prime is 27012071600627. The next prime is 27012071600681. The reversal of 27012071600640 is 4600617021072.
27012071600640 is a `hidden beast` number, since 2 + 7 + 0 + 1 + 2 + 0 + 7 + 1 + 6 + 0 + 0 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (2160).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 27012071600595 and 27012071600604.
It is an unprimeable number.
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 215 ways as a sum of consecutive naturals, for example, 18929271607 + ... + 18929273033.
Almost surely, 227012071600640 is an apocalyptic number.
27012071600640 is a gapful number since it is divisible by the number (20) 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 27012071600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58999784459616).
27012071600640 is an abundant number, since it is smaller than the sum of its proper divisors (90987497318592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27012071600640 is an frugal number, since it uses more digits than its factorization.
27012071600640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1511 (or 1467 counting only the distinct ones).
The product of its (nonzero) digits is 28224, while the sum is 36.
The spelling of 27012071600640 in words is "twenty-seven trillion, twelve billion, seventy-one million, six hundred thousand, six hundred forty".
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