Base | Representation |
---|---|
bin | 10001101110110000… |
… | …00110110001000000 |
3 | 220120101200100001021 |
4 | 20313120012301000 |
5 | 123443331010030 |
6 | 4212321115224 |
7 | 454614112312 |
oct | 106730066100 |
9 | 26511610037 |
10 | 9519000640 |
11 | 4045256086 |
12 | 1a17a88b14 |
13 | b89158976 |
14 | 6643157b2 |
15 | 3aaa4997a |
hex | 237606c40 |
9519000640 has 56 divisors (see below), whose sum is σ = 22764582360. Its totient is φ = 3791228928.
The previous prime is 9519000577. The next prime is 9519000653. The reversal of 9519000640 is 460009159.
It can be written as a sum of positive squares in 4 ways, for example, as 247621696 + 9271378944 = 15736^2 + 96288^2 .
It is a super-2 number, since 2×95190006402 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 9519000596 and 9519000605.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 10726 + ... + 138394.
Almost surely, 29519000640 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 9519000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11382291180).
9519000640 is an abundant number, since it is smaller than the sum of its proper divisors (13245581720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9519000640 is a wasteful number, since it uses less digits than its factorization.
9519000640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 127919 (or 127909 counting only the distinct ones).
The product of its (nonzero) digits is 9720, while the sum is 34.
The square root of 9519000640 is about 97565.3659860916. The cubic root of 9519000640 is about 2119.3228405694.
Adding to 9519000640 its reverse (460009159), we get a palindrome (9979009799).
The spelling of 9519000640 in words is "nine billion, five hundred nineteen million, six hundred forty", and thus it is an aban number.
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