Base | Representation |
---|---|
bin | 101011001110111110… |
… | …010100001111000000 |
3 | 11102211020101210110101 |
4 | 223032332110033000 |
5 | 1230033030142024 |
6 | 33154231012144 |
7 | 3232245316630 |
oct | 531676241700 |
9 | 142736353411 |
10 | 46422115264 |
11 | 1876208a318 |
12 | 8bb680a054 |
13 | 44ba733a75 |
14 | 236549a6c0 |
15 | 131a700c44 |
hex | acef943c0 |
46422115264 has 112 divisors (see below), whose sum is σ = 107182017792. Its totient is φ = 19537385472.
The previous prime is 46422115261. The next prime is 46422115301. The reversal of 46422115264 is 46251122464.
46422115264 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 (112).
It is a super-3 number, since 3×464221152643 (a number of 33 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (46422115261) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10413324 + ... + 10417780.
Almost surely, 246422115264 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 46422115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53591008896).
46422115264 is an abundant number, since it is smaller than the sum of its proper divisors (60759902528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46422115264 is a wasteful number, since it uses less digits than its factorization.
46422115264 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4890 (or 4880 counting only the distinct ones).
The product of its digits is 92160, while the sum is 37.
The spelling of 46422115264 in words is "forty-six billion, four hundred twenty-two million, one hundred fifteen thousand, two hundred sixty-four".
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