Base | Representation |
---|---|
bin | 10111110100001111001000… |
… | …11111100110001000000000 |
3 | 20212102202020111100020102100 |
4 | 23322013210133212020000 |
5 | 23331032103122244000 |
6 | 303215311241550400 |
7 | 14013531100404300 |
oct | 1372074437461000 |
9 | 225382214306370 |
10 | 52372369728000 |
11 | 15761aa7403a33 |
12 | 5a5a1487a5400 |
13 | 232b90217a4ba |
14 | cd0b9c831600 |
15 | 60c4d39a3a00 |
hex | 2fa1e47e6200 |
52372369728000 has 2880 divisors, whose sum is σ = 233103680409600. Its totient is φ = 11236854988800.
The previous prime is 52372369727939. The next prime is 52372369728001. The reversal of 52372369728000 is 82796327325.
52372369728000 is a `hidden beast` number, since 523 + 7 + 2 + 3 + 6 + 97 + 28 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2880).
It is a super-2 number, since 2×523723697280002 (a number of 28 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (52372369728001) by changing a digit.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 68104511616 + ... + 68104512384.
It is an arithmetic number, because the mean of its divisors is an integer number (80938777920).
Almost surely, 252372369728000 is an apocalyptic number.
52372369728000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 52372369728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116551840204800).
52372369728000 is an abundant number, since it is smaller than the sum of its proper divisors (180731310681600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
52372369728000 is a wasteful number, since it uses less digits than its factorization.
52372369728000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 968 (or 932 counting only the distinct ones).
The product of its (nonzero) digits is 7620480, while the sum is 54.
It can be divided in two parts, 52372369 and 728000, that added together give a square (53100369 = 72872).
The spelling of 52372369728000 in words is "fifty-two trillion, three hundred seventy-two billion, three hundred sixty-nine million, seven hundred twenty-eight thousand".
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