| Base | Representation |
|---|---|
| bin | 10101001000110101… |
| … | …10010000100000000 |
| 3 | 1002021220001102000000 |
| 4 | 22210122302010000 |
| 5 | 141220143400231 |
| 6 | 5114032000000 |
| 7 | 551136653100 |
| oct | 124432620400 |
| 9 | 32256042000 |
| 10 | 11348418816 |
| 11 | 48a3983029 |
| 12 | 2248690000 |
| 13 | 10bb178c27 |
| 14 | 799289200 |
| 15 | 4664646e6 |
| hex | 2a46b2100 |
11348418816 has 756 divisors, whose sum is σ = 42405300252. Its totient is φ = 3009871872.
The previous prime is 11348418811. The next prime is 11348418847. The reversal of 11348418816 is 61881484311.
11348418816 is a `hidden beast` number, since 113 + 48 + 418 + 81 + 6 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 7690588416 + 3657830400 = 87696^2 + 60480^2 .
It is a tau number, because it is divible by the number of its divisors (756).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11348418811) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 155457756 + ... + 155457828.
It is an arithmetic number, because the mean of its divisors is an integer number (56091667).
Almost surely, 211348418816 is an apocalyptic number.
11348418816 is a gapful number since it is divisible by the number (16) 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 11348418816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21202650126).
11348418816 is an abundant number, since it is smaller than the sum of its proper divisors (31056881436).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11348418816 is an frugal number, since it uses more digits than its factorization.
11348418816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 138 (or 102 counting only the distinct ones).
The product of its digits is 147456, while the sum is 45.
The spelling of 11348418816 in words is "eleven billion, three hundred forty-eight million, four hundred eighteen thousand, eight hundred sixteen".
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