Base | Representation |
---|---|
bin | 10111011100110010… |
… | …01100110101000000 |
3 | 1012111101101210012210 |
4 | 23232121030311000 |
5 | 201240404040034 |
6 | 5441125022120 |
7 | 623660065350 |
oct | 135631146500 |
9 | 35441353183 |
10 | 12589518144 |
11 | 5380500355 |
12 | 2534254940 |
13 | 1258330428 |
14 | 876036b60 |
15 | 4da3bc8e9 |
hex | 2ee64cd40 |
12589518144 has 56 divisors (see below), whose sum is σ = 38068308928. Its totient is φ = 3597004800.
The previous prime is 12589518143. The next prime is 12589518163. The reversal of 12589518144 is 44181598521.
It is a tau number, because it is divible by the number of its divisors (56).
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a junction number, because it is equal to n+sod(n) for n = 12589518093 and 12589518102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12589518143) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4682257 + ... + 4684944.
Almost surely, 212589518144 is an apocalyptic number.
12589518144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
12589518144 is an abundant number, since it is smaller than the sum of its proper divisors (25478790784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12589518144 is an equidigital number, since it uses as much as digits as its factorization.
12589518144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9367223 (or 9367213 counting only the distinct ones).
The product of its digits is 460800, while the sum is 48.
The spelling of 12589518144 in words is "twelve billion, five hundred eighty-nine million, five hundred eighteen thousand, one hundred forty-four".
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