Base | Representation |
---|---|
bin | 10010101011011101… |
… | …11101010101000000 |
3 | 221212220000211002112 |
4 | 21111232331111000 |
5 | 131014221322101 |
6 | 4335033234452 |
7 | 503340131624 |
oct | 112556752500 |
9 | 27786024075 |
10 | 10028307776 |
11 | 428679a073 |
12 | 1b3a562a28 |
13 | c3a81c136 |
14 | 6b1c11184 |
15 | 3da6006bb |
hex | 255bbd540 |
10028307776 has 56 divisors (see below), whose sum is σ = 20129272416. Its totient is φ = 4956531200.
The previous prime is 10028307743. The next prime is 10028307791. The reversal of 10028307776 is 67770382001.
10028307776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 7 ways as a sum of consecutive naturals, for example, 7672115 + ... + 7673421.
Almost surely, 210028307776 is an apocalyptic number.
10028307776 is a gapful number since it is divisible by the number (16) 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 10028307776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10064636208).
10028307776 is an abundant number, since it is smaller than the sum of its proper divisors (10100964640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10028307776 is a wasteful number, since it uses less digits than its factorization.
10028307776 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2607 (or 2597 counting only the distinct ones).
The product of its (nonzero) digits is 98784, while the sum is 41.
Adding to 10028307776 its reverse (67770382001), we get a palindrome (77798689777).
The spelling of 10028307776 in words is "ten billion, twenty-eight million, three hundred seven thousand, seven hundred seventy-six".
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