Base | Representation |
---|---|
bin | 11000011101101000101010… |
… | …01100011001101100000000 |
3 | 21001110201211120021112021200 |
4 | 30032310111030121230000 |
5 | 24022333243131024010 |
6 | 310224555524221200 |
7 | 14221355545342305 |
oct | 1416642514315400 |
9 | 231421746245250 |
10 | 53794820954880 |
11 | 1616028a001285 |
12 | 604996883a800 |
13 | 2402aa32425b5 |
14 | d3d97cab90ac |
15 | 6344d7b73cc0 |
hex | 30ed15319b00 |
53794820954880 has 864 divisors, whose sum is σ = 200063185253568. Its totient is φ = 13297935974400.
The previous prime is 53794820954867. The next prime is 53794820954887. The reversal of 53794820954880 is 8845902849735.
53794820954880 is a `hidden beast` number, since 5 + 3 + 79 + 4 + 8 + 2 + 0 + 9 + 548 + 8 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 53794820954799 and 53794820954808.
It is not an unprimeable number, because it can be changed into a prime (53794820954887) 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 95 ways as a sum of consecutive naturals, for example, 4008250570 + ... + 4008263990.
It is an arithmetic number, because the mean of its divisors is an integer number (231554612562).
Almost surely, 253794820954880 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 53794820954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100031592626784).
53794820954880 is an abundant number, since it is smaller than the sum of its proper divisors (146268364298688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53794820954880 is a wasteful number, since it uses less digits than its factorization.
53794820954880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13773 (or 13756 counting only the distinct ones).
The product of its (nonzero) digits is 696729600, while the sum is 72.
The spelling of 53794820954880 in words is "fifty-three trillion, seven hundred ninety-four billion, eight hundred twenty million, nine hundred fifty-four thousand, eight hundred eighty".
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