| Base | Representation |
|---|---|
| bin | 10101101011101010… |
| … | …10011110001100000 |
| 3 | 1010001020211000002100 |
| 4 | 22311311103301200 |
| 5 | 142314442212222 |
| 6 | 5203030050400 |
| 7 | 561315225336 |
| oct | 126565236140 |
| 9 | 33036730070 |
| 10 | 11640585312 |
| 11 | 4a33897044 |
| 12 | 230a4a9a00 |
| 13 | 1136863305 |
| 14 | 7c5dbdb56 |
| 15 | 481e274ac |
| hex | 2b5d53c60 |
11640585312 has 216 divisors, whose sum is σ = 34567100568. Its totient is φ = 3715476480.
The previous prime is 11640585251. The next prime is 11640585317. The reversal of 11640585312 is 21358504611.
11640585312 is a `hidden beast` number, since 1 + 1 + 6 + 40 + 585 + 31 + 2 = 666.
11640585312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-4 number, since 4×116405853124 (a number of 41 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11640585317) by changing a digit.
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 35 ways as a sum of consecutive naturals, for example, 37917063 + ... + 37917369.
It is an arithmetic number, because the mean of its divisors is an integer number (160032873).
Almost surely, 211640585312 is an apocalyptic number.
11640585312 is a gapful number since it is divisible by the number (12) 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 11640585312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17283550284).
11640585312 is an abundant number, since it is smaller than the sum of its proper divisors (22926515256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11640585312 is a wasteful number, since it uses less digits than its factorization.
11640585312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 522 (or 480 counting only the distinct ones).
The product of its (nonzero) digits is 28800, while the sum is 36.
The spelling of 11640585312 in words is "eleven billion, six hundred forty million, five hundred eighty-five thousand, three hundred twelve".
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