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243539289009 = 34548332
BaseRepresentation
bin1110001011010000010…
…0101010001110110001
3212021121200010201210000
43202310010222032301
512442232024222014
6303514100100213
723411062541442
oct3426404521661
9767550121700
10243539289009
1194314641485
123b248994669
1319c72716093
14bb047572c9
156505a29509
hex38b412a3b1

243539289009 has 15 divisors (see below), whose sum is σ = 363812239483. Its totient is φ = 162356565024.

The previous prime is 243539288977. The next prime is 243539289013. The reversal of 243539289009 is 900982935342.

The square root of 243539289009 is 493497.

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

243539289009 is a `hidden beast` number, since 2 + 4 + 353 + 9 + 289 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125390351025 + 118148937984 = 354105^2 + 343728^2 .

It is not a de Polignac number, because 243539289009 - 25 = 243539288977 is a prime.

It is a super-3 number, since 3×2435392890093 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (243539288009) 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 14 ways as a sum of consecutive naturals, for example, 4414057 + ... + 4468889.

Almost surely, 2243539289009 is an apocalyptic number.

243539289009 is the 493497-th square number.

243539289009 is the 246749-th centered octagonal number.

It is an amenable number.

243539289009 is a deficient number, since it is larger than the sum of its proper divisors (120272950474).

243539289009 is an frugal number, since it uses more digits than its factorization.

243539289009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109678 (or 54836 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 243539289009 in words is "two hundred forty-three billion, five hundred thirty-nine million, two hundred eighty-nine thousand, nine".

Divisors: 1 3 9 27 81 54833 164499 493497 1480491 4441473 3006657889 9019973667 27059921001 81179763003 243539289009