Base | Representation |
---|---|
bin | 1101100101000011011… |
… | …1110100111000100100 |
3 | 211022011000222012112100 |
4 | 3121100313310320210 |
5 | 12310231432431141 |
6 | 255100352052100 |
7 | 22566010112565 |
oct | 3312067647044 |
9 | 738130865470 |
10 | 233285045796 |
11 | 8aa32365810 |
12 | 39266834030 |
13 | 18cca15ba4a |
14 | b41093216c |
15 | 610569a0b6 |
hex | 3650df4e24 |
233285045796 has 144 divisors (see below), whose sum is σ = 666031766400. Its totient is φ = 68198592000.
The previous prime is 233285045723. The next prime is 233285045797. The reversal of 233285045796 is 697540582332.
233285045796 is a `hidden beast` number, since 2 + 33 + 28 + 50 + 457 + 96 = 666.
233285045796 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (233285045797) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15139696 + ... + 15155096.
It is an arithmetic number, because the mean of its divisors is an integer number (4625220600).
Almost surely, 2233285045796 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 233285045796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333015883200).
233285045796 is an abundant number, since it is smaller than the sum of its proper divisors (432746720604).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233285045796 is a wasteful number, since it uses less digits than its factorization.
233285045796 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16770 (or 16765 counting only the distinct ones).
The product of its (nonzero) digits is 10886400, while the sum is 54.
The spelling of 233285045796 in words is "two hundred thirty-three billion, two hundred eighty-five million, forty-five thousand, seven hundred ninety-six".
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