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542819718169 = 17219222812
BaseRepresentation
bin1111110011000101001…
…00111001010000011001
31220220010001001202220021
413321202210321100121
532343143321440134
61053211250230441
754134402322001
oct7714244712031
91826101052807
10542819718169
1119a232641533
1289251285421
133c259442611
141c3b60a9001
15e1bee4c0b4
hex7e62939419

542819718169 has 27 divisors (see below), whose sum is σ = 608841657981. Its totient is φ = 483788056320.

The previous prime is 542819718149. The next prime is 542819718179. The reversal of 542819718169 is 961817918245.

The square root of 542819718169 is 736763.

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

It can be written as a sum of positive squares in 4 ways, for example, as 81387531225 + 461432186944 = 285285^2 + 679288^2 .

It is not a de Polignac number, because 542819718169 - 213 = 542819709977 is a prime.

It is a super-2 number, since 2×5428197181692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (542819718139) 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 26 ways as a sum of consecutive naturals, for example, 237973309 + ... + 237975589.

Almost surely, 2542819718169 is an apocalyptic number.

542819718169 is the 736763-rd square number.

542819718169 is the 368382-nd centered octagonal number.

It is an amenable number.

542819718169 is a deficient number, since it is larger than the sum of its proper divisors (66021939812).

542819718169 is an frugal number, since it uses more digits than its factorization.

542819718169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634 (or 2317 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 61.

The spelling of 542819718169 in words is "five hundred forty-two billion, eight hundred nineteen million, seven hundred eighteen thousand, one hundred sixty-nine".

Divisors: 1 17 19 289 323 361 2281 5491 6137 38777 43339 104329 659209 736763 823441 5202961 12524971 13998497 88450337 98856259 237974449 1503655729 1680556403 1878268921 28569458851 31930571657 542819718169