| Base | Representation |
|---|---|
| bin | 10101000110011011… |
| … | …01111110100100000 |
| 3 | 1002020111001102200000 |
| 4 | 22203031233310200 |
| 5 | 141200011141134 |
| 6 | 5112031100000 |
| 7 | 550503214500 |
| oct | 124315576440 |
| 9 | 32214042600 |
| 10 | 11328224544 |
| 11 | 489353a84a |
| 12 | 2241971600 |
| 13 | 10b6c28260 |
| 14 | 79670da00 |
| 15 | 4647c5e99 |
| hex | 2a336fd20 |
11328224544 has 432 divisors, whose sum is σ = 41869795968. Its totient is φ = 2986357248.
The previous prime is 11328224489. The next prime is 11328224561. The reversal of 11328224544 is 44542282311.
11328224544 is a `hidden beast` number, since 1 + 1 + 32 + 82 + 2 + 4 + 544 = 666.
11328224544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (432).
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 = 11328224499 and 11328224508.
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 71 ways as a sum of consecutive naturals, for example, 4952169 + ... + 4954455.
It is an arithmetic number, because the mean of its divisors is an integer number (96920824).
Almost surely, 211328224544 is an apocalyptic number.
11328224544 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 11328224544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20934897984).
11328224544 is an abundant number, since it is smaller than the sum of its proper divisors (30541571424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11328224544 is a wasteful number, since it uses less digits than its factorization.
11328224544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2339 (or 2312 counting only the distinct ones).
The product of its digits is 61440, while the sum is 36.
The spelling of 11328224544 in words is "eleven billion, three hundred twenty-eight million, two hundred twenty-four thousand, five hundred forty-four".
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