Base | Representation |
---|---|
bin | 10001000010101001… |
… | …10110010100000000 |
3 | 212121121112210112000 |
4 | 20201110312110000 |
5 | 122214124014224 |
6 | 4111503504000 |
7 | 442502424342 |
oct | 104124662400 |
9 | 25547483460 |
10 | 9149048064 |
11 | 3975443252 |
12 | 1933bb8000 |
13 | b2a607b10 |
14 | 62b133292 |
15 | 38831e0c9 |
hex | 221536500 |
9149048064 has 288 divisors, whose sum is σ = 30149817600. Its totient is φ = 2717245440.
The previous prime is 9149048063. The next prime is 9149048099. The reversal of 9149048064 is 4608409419.
It is a tau number, because it is divible by the number of its divisors (288).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9149048063) 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 31 ways as a sum of consecutive naturals, for example, 2604069 + ... + 2607579.
Almost surely, 29149048064 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9149048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15074908800).
9149048064 is an abundant number, since it is smaller than the sum of its proper divisors (21000769536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9149048064 is a wasteful number, since it uses less digits than its factorization.
9149048064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3578 (or 3558 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 45.
The square root of 9149048064 is about 95650.6563699382. The cubic root of 9149048064 is about 2091.5036960000.
The spelling of 9149048064 in words is "nine billion, one hundred forty-nine million, forty-eight thousand, sixty-four".
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