Base | Representation |
---|---|
bin | 10011000011110000… |
… | …00000011100010010 |
3 | 222102002022210002200 |
4 | 21201320000130102 |
5 | 131423343201133 |
6 | 4411151224030 |
7 | 511362422334 |
oct | 114170003422 |
9 | 28362283080 |
10 | 10232006418 |
11 | 4380778957 |
12 | 1b96818016 |
13 | c70a9ca8a |
14 | 6d0cb7454 |
15 | 3ed43a913 |
hex | 261e00712 |
10232006418 has 48 divisors (see below), whose sum is σ = 22797469656. Its totient is φ = 3314269440.
The previous prime is 10232006399. The next prime is 10232006419. The reversal of 10232006418 is 81460023201.
10232006418 is a `hidden beast` number, since 10 + 2 + 3 + 2 + 0 + 0 + 641 + 8 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 10069520409 + 162486009 = 100347^2 + 12747^2 .
It is a junction number, because it is equal to n+sod(n) for n = 10232006391 and 10232006400.
It is not an unprimeable number, because it can be changed into a prime (10232006419) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537430 + ... + 556142.
Almost surely, 210232006418 is an apocalyptic number.
10232006418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 10232006418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11398734828).
10232006418 is an abundant number, since it is smaller than the sum of its proper divisors (12565463238).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10232006418 is a wasteful number, since it uses less digits than its factorization.
10232006418 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 19579 (or 19576 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
Adding to 10232006418 its reverse (81460023201), we get a palindrome (91692029619).
The spelling of 10232006418 in words is "ten billion, two hundred thirty-two million, six thousand, four hundred eighteen".
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