Base | Representation |
---|---|
bin | 10011010111100010… |
… | …10111011101000000 |
3 | 222211122202001101000 |
4 | 21223301113131000 |
5 | 132243344202244 |
6 | 4435442012000 |
7 | 515446602036 |
oct | 115361273500 |
9 | 28748661330 |
10 | 10398037824 |
11 | 445646a799 |
12 | 2022347000 |
13 | c992c2905 |
14 | 708d76556 |
15 | 40ccd5169 |
hex | 26bc57740 |
10398037824 has 112 divisors (see below), whose sum is σ = 30650891200. Its totient is φ = 3456649728.
The previous prime is 10398037817. The next prime is 10398037843. The reversal of 10398037824 is 42873089301.
10398037824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 10398037824.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646974 + ... + 662850.
Almost surely, 210398037824 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 10398037824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15325445600).
10398037824 is an abundant number, since it is smaller than the sum of its proper divisors (20252853376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10398037824 is a wasteful number, since it uses less digits than its factorization.
10398037824 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16277 (or 16261 counting only the distinct ones).
The product of its (nonzero) digits is 290304, while the sum is 45.
The spelling of 10398037824 in words is "ten billion, three hundred ninety-eight million, thirty-seven thousand, eight hundred twenty-four".
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