Base | Representation |
---|---|
bin | 10101110101010100… |
… | …100000101111010000 |
3 | 2020111210102021222200 |
4 | 111311110200233100 |
5 | 341002421211403 |
6 | 14434124003200 |
7 | 1456641316320 |
oct | 256524405720 |
9 | 66453367880 |
10 | 23443147728 |
11 | 9a40055960 |
12 | 4663090500 |
13 | 2297b29c60 |
14 | 11c56c5280 |
15 | 923197ca3 |
hex | 575520bd0 |
23443147728 has 480 divisors, whose sum is σ = 89000970240. Its totient is φ = 5562639360.
The previous prime is 23443147723. The next prime is 23443147751. The reversal of 23443147728 is 82774134432.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23443147723) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14846043 + ... + 14847621.
It is an arithmetic number, because the mean of its divisors is an integer number (185418688).
Almost surely, 223443147728 is an apocalyptic number.
23443147728 is a gapful number since it is divisible by the number (28) 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 23443147728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44500485120).
23443147728 is an abundant number, since it is smaller than the sum of its proper divisors (65557822512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23443147728 is a wasteful number, since it uses less digits than its factorization.
23443147728 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1727 (or 1718 counting only the distinct ones).
The product of its digits is 903168, while the sum is 45.
It can be divided in two parts, 23443 and 147728, that added together give a palindrome (171171).
The spelling of 23443147728 in words is "twenty-three billion, four hundred forty-three million, one hundred forty-seven thousand, seven hundred twenty-eight".
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