Base | Representation |
---|---|
bin | 10010001110101010… |
… | …111111101101010000 |
3 | 1212112010000001220000 |
4 | 102032222333231100 |
5 | 310041304123343 |
6 | 12554132050000 |
7 | 1262023021542 |
oct | 221652775520 |
9 | 55463001800 |
10 | 19573504848 |
11 | 8334807997 |
12 | 3963163900 |
13 | 1acc21a741 |
14 | d397c5692 |
15 | 7985c1ed3 |
hex | 48eabfb50 |
19573504848 has 100 divisors (see below), whose sum is σ = 56779262100. Its totient is φ = 6509776896.
The previous prime is 19573504823. The next prime is 19573504871. The reversal of 19573504848 is 84840537591.
19573504848 is a `hidden beast` number, since 1 + 9 + 57 + 3 + 504 + 84 + 8 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 5951813904 + 13621690944 = 77148^2 + 116712^2 .
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 19573504794 and 19573504803.
It is a congruent number.
It is an unprimeable number.
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 19 ways as a sum of consecutive naturals, for example, 565086 + ... + 598722.
It is an arithmetic number, because the mean of its divisors is an integer number (567792621).
Almost surely, 219573504848 is an apocalyptic number.
19573504848 is a gapful number since it is divisible by the number (18) 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 19573504848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28389631050).
19573504848 is an abundant number, since it is smaller than the sum of its proper divisors (37205757252).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19573504848 is a wasteful number, since it uses less digits than its factorization.
19573504848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 34106 (or 34091 counting only the distinct ones).
The product of its (nonzero) digits is 4838400, while the sum is 54.
The spelling of 19573504848 in words is "nineteen billion, five hundred seventy-three million, five hundred four thousand, eight hundred forty-eight".
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