Base | Representation |
---|---|
bin | 10110101100011000… |
… | …11101000100111001 |
3 | 1011110002110010110100 |
4 | 23112030131010321 |
5 | 144422440224031 |
6 | 5332543110013 |
7 | 610630146042 |
oct | 132614350471 |
9 | 34402403410 |
10 | 12183523641 |
11 | 5192310703 |
12 | 24402a2309 |
13 | 11c21a04b3 |
14 | 8381518c9 |
15 | 4b4922de6 |
hex | 2d631d139 |
12183523641 has 9 divisors (see below), whose sum is σ = 17598901359. Its totient is φ = 8122128336.
The previous prime is 12183523619. The next prime is 12183523643. The reversal of 12183523641 is 14632538121.
The square root of 12183523641 is 110379.
It is a perfect power (a square), and thus also a powerful number.
12183523641 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 3 + 5 + 2 + 3 + 641 = 666.
12183523641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 797780025 + 11385743616 = 28245^2 + 106704^2 .
It is a tau number, because it is divible by the number of its divisors (9).
It is not a de Polignac number, because 12183523641 - 211 = 12183521593 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 12183523596 and 12183523605.
It is not an unprimeable number, because it can be changed into a prime (12183523643) 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 8 ways as a sum of consecutive naturals, for example, 312741 + ... + 349533.
Almost surely, 212183523641 is an apocalyptic number.
12183523641 is the 110379-th square number.
12183523641 is the 55190-th centered octagonal number.
It is an amenable number.
12183523641 is a deficient number, since it is larger than the sum of its proper divisors (5415377718).
12183523641 is an frugal number, since it uses more digits than its factorization.
12183523641 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 73592 (or 36796 counting only the distinct ones).
The product of its digits is 34560, while the sum is 36.
Multiplying 12183523641 by its sum of digits (36), we get a square (438606851076 = 6622742).
It can be divided in two parts, 12183 and 523641, that added together give a square (535824 = 7322).
The spelling of 12183523641 in words is "twelve billion, one hundred eighty-three million, five hundred twenty-three thousand, six hundred forty-one".
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