Base | Representation |
---|---|
bin | 10110011001010000… |
… | …01001100110010000 |
3 | 1011000220102021111200 |
4 | 23030220021212100 |
5 | 144110342333403 |
6 | 5305010511200 |
7 | 603640625220 |
oct | 131450114620 |
9 | 34026367450 |
10 | 12023011728 |
11 | 510a749732 |
12 | 23b6595500 |
13 | 1197b60a30 |
14 | 820acc080 |
15 | 4a57b8ca3 |
hex | 2cca09990 |
12023011728 has 480 divisors, whose sum is σ = 45289101312. Its totient is φ = 2886451200.
The previous prime is 12023011727. The next prime is 12023011739. The reversal of 12023011728 is 82711032021.
It is a super-2 number, since 2×120230117282 (a number of 21 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (12023011723) 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 95 ways as a sum of consecutive naturals, for example, 6904938 + ... + 6906678.
Almost surely, 212023011728 is an apocalyptic number.
12023011728 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 12023011728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22644550656).
12023011728 is an abundant number, since it is smaller than the sum of its proper divisors (33266089584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12023011728 is a wasteful number, since it uses less digits than its factorization.
12023011728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1823 (or 1814 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 27.
Adding to 12023011728 its reverse (82711032021), we get a palindrome (94734043749).
The spelling of 12023011728 in words is "twelve billion, twenty-three million, eleven thousand, seven hundred twenty-eight".
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