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18186139359441 = 32211267372
BaseRepresentation
bin1000010001010010010100…
…11000000101100011010001
32101101120121022122211211100
410020221022120011203101
54340430203134000231
6102402332545335013
73554622325664004
oct410511230054321
971346538584740
1018186139359441
115881775614009
122058719337469
13a1bc3a5a4591
1446c2dcad153b
152180e35761e6
hex108a4a6058d1

18186139359441 has 27 divisors (see below), whose sum is σ = 26397873343803. Its totient is φ = 12064841651520.

The previous prime is 18186139359439. The next prime is 18186139359481. The reversal of 18186139359441 is 14495393168181.

The square root of 18186139359441 is 4264521.

It is a perfect power (a square), and thus also a powerful number.

18186139359441 is a `hidden beast` number, since 1 + 8 + 1 + 8 + 6 + 1 + 39 + 3 + 594 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9289663931025 + 8896475428416 = 3047895^2 + 2982696^2 .

It is not a de Polignac number, because 18186139359441 - 21 = 18186139359439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18186139359481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2699438425 + ... + 2699445161.

Almost surely, 218186139359441 is an apocalyptic number.

18186139359441 is the 4264521-st square number.

18186139359441 is the 2132261-st centered octagonal number.

It is an amenable number.

18186139359441 is a deficient number, since it is larger than the sum of its proper divisors (8211733984362).

18186139359441 is an frugal number, since it uses more digits than its factorization.

18186139359441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13902 (or 6951 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The spelling of 18186139359441 in words is "eighteen trillion, one hundred eighty-six billion, one hundred thirty-nine million, three hundred fifty-nine thousand, four hundred forty-one".

Divisors: 1 3 9 211 633 1899 6737 20211 44521 60633 133563 400689 1421507 4264521 12793563 45387169 136161507 299937977 408484521 899813931 2699441793 9576692659 28730077977 86190233931 2020682151049 6062046453147 18186139359441