| Base | Representation |
|---|---|
| bin | 1010110010101111111101… |
| … | …1001000011010110100000 |
| 3 | 1120000110202112210222101100 |
| 4 | 2230223333121003112200 |
| 5 | 3023412041003211320 |
| 6 | 41123341204434400 |
| 7 | 2333234636220603 |
| oct | 254537731032640 |
| 9 | 46013675728340 |
| 10 | 11866984428960 |
| 11 | 386583a37a601 |
| 12 | 13b7a990a8a00 |
| 13 | 681089b412bb |
| 14 | 2d0517c1633a |
| 15 | 158a4a48e790 |
| hex | acaff6435a0 |
11866984428960 has 288 divisors, whose sum is σ = 43227851022720. Its totient is φ = 2955749529600.
The previous prime is 11866984428907. The next prime is 11866984428961. The reversal of 11866984428960 is 6982448966811.
11866984428960 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 6 + 98 + 442 + 8 + 96 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is not an unprimeable number, because it can be changed into a prime (11866984428961) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111911 + ... + 4997030.
It is an arithmetic number, because the mean of its divisors is an integer number (150096704940).
Almost surely, 211866984428960 is an apocalyptic number.
11866984428960 is a gapful number since it is divisible by the number (10) 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 11866984428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21613925511360).
11866984428960 is an abundant number, since it is smaller than the sum of its proper divisors (31360866593760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11866984428960 is a wasteful number, since it uses less digits than its factorization.
11866984428960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6109052 (or 6109041 counting only the distinct ones).
The product of its (nonzero) digits is 286654464, while the sum is 72.
The spelling of 11866984428960 in words is "eleven trillion, eight hundred sixty-six billion, nine hundred eighty-four million, four hundred twenty-eight thousand, nine hundred sixty".
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