Base | Representation |
---|---|
bin | 10010101011000000… |
… | …00011010101001100 |
3 | 221212121200021220122 |
4 | 21111200003111030 |
5 | 131012221301304 |
6 | 4334413404112 |
7 | 503261665400 |
oct | 112540032514 |
9 | 27777607818 |
10 | 10024400204 |
11 | 4284570275 |
12 | 1b39199638 |
13 | c39a81670 |
14 | 6b14b5100 |
15 | 3da0cc9be |
hex | 25580354c |
10024400204 has 72 divisors (see below), whose sum is σ = 22203679680. Its totient is φ = 3924716544.
The previous prime is 10024400203. The next prime is 10024400233. The reversal of 10024400204 is 40200442001.
It is not an unprimeable number, because it can be changed into a prime (10024400203) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226877 + ... + 267435.
It is an arithmetic number, because the mean of its divisors is an integer number (308384440).
Almost surely, 210024400204 is an apocalyptic number.
10024400204 is a gapful number since it is divisible by the number (14) 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 10024400204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11101839840).
10024400204 is an abundant number, since it is smaller than the sum of its proper divisors (12179279476).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10024400204 is a wasteful number, since it uses less digits than its factorization.
10024400204 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40687 (or 40678 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 17.
Adding to 10024400204 its reverse (40200442001), we get a palindrome (50224842205).
The spelling of 10024400204 in words is "ten billion, twenty-four million, four hundred thousand, two hundred four".
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