Base | Representation |
---|---|
bin | 11001000000101101… |
… | …11010101110011100 |
3 | 1021122210201221000000 |
4 | 30200112322232130 |
5 | 210000002434013 |
6 | 10100231534300 |
7 | 653516152062 |
oct | 144026725634 |
9 | 37583657000 |
10 | 13427780508 |
11 | 57706a526a |
12 | 2728b2a390 |
13 | 135cbbbc6c |
14 | 9154c2032 |
15 | 538ca1973 |
hex | 3205bab9c |
13427780508 has 84 divisors (see below), whose sum is σ = 35544464928. Its totient is φ = 4436208000.
The previous prime is 13427780501. The next prime is 13427780521. The reversal of 13427780508 is 80508772431.
13427780508 is a `hidden beast` number, since 134 + 2 + 7 + 7 + 8 + 0 + 508 = 666.
13427780508 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13427780501) 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 27 ways as a sum of consecutive naturals, for example, 309133 + ... + 349883.
It is an arithmetic number, because the mean of its divisors is an integer number (423148392).
Almost surely, 213427780508 is an apocalyptic number.
13427780508 is a gapful number since it is divisible by the number (18) 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 13427780508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17772232464).
13427780508 is an abundant number, since it is smaller than the sum of its proper divisors (22116684420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13427780508 is a wasteful number, since it uses less digits than its factorization.
13427780508 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40886 (or 40869 counting only the distinct ones).
The product of its (nonzero) digits is 376320, while the sum is 45.
The spelling of 13427780508 in words is "thirteen billion, four hundred twenty-seven million, seven hundred eighty thousand, five hundred eight".
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