| Base | Representation |
|---|---|
| bin | 10101101110010011… |
| … | …11011111000000000 |
| 3 | 1010002210120002022000 |
| 4 | 22313021323320000 |
| 5 | 142341132112124 |
| 6 | 5205141344000 |
| 7 | 562004622630 |
| oct | 126711737000 |
| 9 | 33083502260 |
| 10 | 11662769664 |
| 11 | 4a45369517 |
| 12 | 2315a08000 |
| 13 | 113b32ca50 |
| 14 | 7c8d166c0 |
| 15 | 483d5a6c9 |
| hex | 2b727be00 |
11662769664 has 640 divisors, whose sum is σ = 43410554880. Its totient is φ = 3009871872.
The previous prime is 11662769647. The next prime is 11662769693. The reversal of 11662769664 is 46696726611.
11662769664 is a `hidden beast` number, since 1 + 1 + 6 + 627 + 6 + 9 + 6 + 6 + 4 = 666.
11662769664 is digitally balanced in base 2, 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 (54).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 11662769664.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91832769 + ... + 91832895.
It is an arithmetic number, because the mean of its divisors is an integer number (67828992).
Almost surely, 211662769664 is an apocalyptic number.
11662769664 is a gapful number since it is divisible by the number (14) 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 11662769664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21705277440).
11662769664 is an abundant number, since it is smaller than the sum of its proper divisors (31747785216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11662769664 is a wasteful number, since it uses less digits than its factorization.
11662769664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 247 (or 225 counting only the distinct ones).
The product of its digits is 3919104, while the sum is 54.
The spelling of 11662769664 in words is "eleven billion, six hundred sixty-two million, seven hundred sixty-nine thousand, six hundred sixty-four".
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