Base | Representation |
---|---|
bin | 10001111111101011… |
… | …01010111000000000 |
3 | 220221021211001021020 |
4 | 20333311222320000 |
5 | 124241201442243 |
6 | 4234352025440 |
7 | 461256606525 |
oct | 107765527000 |
9 | 26837731236 |
10 | 9660968448 |
11 | 410840164a |
12 | 1a57532280 |
13 | bac6a48a1 |
14 | 67910d14c |
15 | 3b823e283 |
hex | 23fd6ae00 |
9660968448 has 80 divisors (see below), whose sum is σ = 25965655056. Its totient is φ = 3191767040.
The previous prime is 9660968441. The next prime is 9660968459. The reversal of 9660968448 is 8448690669.
9660968448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×96609684482 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 9660968391 and 9660968400.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9660968441) by changing a digit.
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, 145738 + ... + 201398.
Almost surely, 29660968448 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 9660968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12982827528).
9660968448 is an abundant number, since it is smaller than the sum of its proper divisors (16304686608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9660968448 is a wasteful number, since it uses less digits than its factorization.
9660968448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 55795 (or 55779 counting only the distinct ones).
The product of its (nonzero) digits is 17915904, while the sum is 60.
The square root of 9660968448 is about 98290.2255974621. The cubic root of 9660968448 is about 2129.8068585478.
The spelling of 9660968448 in words is "nine billion, six hundred sixty million, nine hundred sixty-eight thousand, four hundred forty-eight".
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