Base | Representation |
---|---|
bin | 111100100101101… |
… | …1111100110000000 |
3 | 12020200112221201010 |
4 | 1321023133212000 |
5 | 13130430244003 |
6 | 533423240520 |
7 | 101244456225 |
oct | 17113374600 |
9 | 5220487633 |
10 | 2033056128 |
11 | 953675184 |
12 | 488a49140 |
13 | 26527c3bc |
14 | 15402194c |
15 | bd742003 |
hex | 792df980 |
2033056128 has 64 divisors (see below), whose sum is σ = 5436702000. Its totient is φ = 673118208.
The previous prime is 2033056121. The next prime is 2033056139. The reversal of 2033056128 is 8216503302.
2033056128 is digitally balanced in base 4, 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 (64).
It is a junction number, because it is equal to n+sod(n) for n = 2033056095 and 2033056104.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2033056121) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39450 + ... + 74982.
Almost surely, 22033056128 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 2033056128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718351000).
2033056128 is an abundant number, since it is smaller than the sum of its proper divisors (3403645872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2033056128 is a wasteful number, since it uses less digits than its factorization.
2033056128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 35699 (or 35687 counting only the distinct ones).
The product of its (nonzero) digits is 8640, while the sum is 30.
The square root of 2033056128 is about 45089.4236822783. The cubic root of 2033056128 is about 1266.8245067695.
The spelling of 2033056128 in words is "two billion, thirty-three million, fifty-six thousand, one hundred twenty-eight".
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