Base | Representation |
---|---|
bin | 10010101110010001101001… |
… | …100011101110100011100000 |
3 | 101210120002112112201221100100 |
4 | 102232101221203232203200 |
5 | 41243114310244103240 |
6 | 451044414550022400 |
7 | 23226135663041154 |
oct | 2256215143564340 |
9 | 353502475657310 |
10 | 82344883972320 |
11 | 242682a6303a22 |
12 | 929aba7047a00 |
13 | 36c41210a0498 |
14 | 1649729651064 |
15 | 97bea5744e30 |
hex | 4ae4698ee8e0 |
82344883972320 has 144 divisors (see below), whose sum is σ = 281917233758160. Its totient is φ = 21887109107712.
The previous prime is 82344883972289. The next prime is 82344883972367. The reversal of 82344883972320 is 2327938844328.
82344883972320 is a `hidden beast` number, since 8 + 2 + 3 + 4 + 4 + 8 + 8 + 397 + 232 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92691385 + ... + 93575544.
It is an arithmetic number, because the mean of its divisors is an integer number (1957758567765).
Almost surely, 282344883972320 is an apocalyptic number.
82344883972320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.
It is an amenable number.
82344883972320 is an abundant number, since it is smaller than the sum of its proper divisors (199572349785840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82344883972320 is a wasteful number, since it uses less digits than its factorization.
82344883972320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 186267257 (or 186267246 counting only the distinct ones).
The product of its (nonzero) digits is 111476736, while the sum is 63.
The spelling of 82344883972320 in words is "eighty-two trillion, three hundred forty-four billion, eight hundred eighty-three million, nine hundred seventy-two thousand, three hundred twenty".
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