Base | Representation |
---|---|
bin | 1010110110010101001… |
… | …0110011011100010001 |
3 | 122211002100112112010000 |
4 | 2231211102303130101 |
5 | 11023203023144331 |
6 | 221342335000213 |
7 | 16315513355142 |
oct | 2554522633421 |
9 | 584070475100 |
10 | 186383021841 |
11 | 720543a1a45 |
12 | 30157369069 |
13 | 14764188a53 |
14 | 904182dac9 |
15 | 4cacc9e0e6 |
hex | 2b654b3711 |
186383021841 has 15 divisors (see below), whose sum is σ = 278429824651. Its totient is φ = 124252757568.
The previous prime is 186383021821. The next prime is 186383021899. The reversal of 186383021841 is 148120383681.
The square root of 186383021841 is 431721.
It is a perfect power (a square), and thus also a powerful number.
186383021841 is a `hidden beast` number, since 1 + 8 + 638 + 3 + 0 + 2 + 1 + 8 + 4 + 1 = 666.
186383021841 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., 142333407441 + 44049614400 = 377271^2 + 209880^2 .
It is not a de Polignac number, because 186383021841 - 215 = 186382989073 is a prime.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (186383021821) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3861505 + ... + 3909473.
Almost surely, 2186383021841 is an apocalyptic number.
186383021841 is the 431721-st square number.
186383021841 is the 215861-st centered octagonal number.
It is an amenable number.
186383021841 is a deficient number, since it is larger than the sum of its proper divisors (92046802810).
186383021841 is an frugal number, since it uses more digits than its factorization.
186383021841 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 95950 (or 47972 counting only the distinct ones).
The product of its (nonzero) digits is 221184, while the sum is 45.
The spelling of 186383021841 in words is "one hundred eighty-six billion, three hundred eighty-three million, twenty-one thousand, eight hundred forty-one".
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