Base | Representation |
---|---|
bin | 10010101000000101… |
… | …11110010001000010 |
3 | 221210220202122012211 |
4 | 21110002332101002 |
5 | 130440000000231 |
6 | 4332142412334 |
7 | 502544412100 |
oct | 112402762102 |
9 | 27726678184 |
10 | 10000000066 |
11 | 4271815071 |
12 | 1b30b910aa |
13 | c349ba504 |
14 | 6ac162c70 |
15 | 3d7daceb1 |
hex | 2540be442 |
10000000066 has 96 divisors (see below), whose sum is σ = 18804068352. Its totient is φ = 3962649600.
The previous prime is 10000000061. The next prime is 10000000069. The reversal of 10000000066 is 66000000001.
10000000066 is nontrivially palindromic in base 6.
It is a junction number, because it is equal to n+sod(n) for n = 9999999983 and 10000000055.
It is not an unprimeable number, because it can be changed into a prime (10000000061) 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 47 ways as a sum of consecutive naturals, for example, 31948726 + ... + 31949038.
It is an arithmetic number, because the mean of its divisors is an integer number (195875712).
Almost surely, 210000000066 is an apocalyptic number.
10000000066 is a deficient number, since it is larger than the sum of its proper divisors (8804068286).
10000000066 is a wasteful number, since it uses less digits than its factorization.
10000000066 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 624 (or 617 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 13.
Adding to 10000000066 its reverse (66000000001), we get a palindrome (76000000067).
The spelling of 10000000066 in words is "ten billion, sixty-six", and thus it is an aban number and an uban number.
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