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181427439249 = 347267612
BaseRepresentation
bin1010100011110111101…
…0110000011010010001
3122100021222201211210000
42220331322300122101
510433030411023444
6215202511400213
716051640534400
oct2507572603221
9570258654700
10181427439249
116aa41072441
122b1b3823069
13141545ac564
148ad1611637
154abcbbd469
hex2a3deb0691

181427439249 has 45 divisors (see below), whose sum is σ = 315316239051. Its totient is φ = 103657488480.

The previous prime is 181427439203. The next prime is 181427439299. The reversal of 181427439249 is 942934724181.

The square root of 181427439249 is 425943.

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

181427439249 is a `hidden beast` number, since 1 + 8 + 142 + 74 + 392 + 49 = 666.

181427439249 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., 144747528849 + 36679910400 = 380457^2 + 191520^2 .

It is not a de Polignac number, because 181427439249 - 213 = 181427431057 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 181427439195 and 181427439204.

It is not an unprimeable number, because it can be changed into a prime (181427439299) 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 44 ways as a sum of consecutive naturals, for example, 26831029 + ... + 26837789.

Almost surely, 2181427439249 is an apocalyptic number.

181427439249 is the 425943-rd square number.

181427439249 is the 212972-nd centered octagonal number.

It is an amenable number.

181427439249 is a deficient number, since it is larger than the sum of its proper divisors (133888799802).

181427439249 is an frugal number, since it uses more digits than its factorization.

181427439249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13548 (or 6771 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 181427439249 in words is "one hundred eighty-one billion, four hundred twenty-seven million, four hundred thirty-nine thousand, two hundred forty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 6761 20283 47327 60849 141981 182547 331289 425943 547641 993867 1277829 2981601 3833487 8944803 26834409 45711121 137133363 319977847 411400089 959933541 1234200267 2239844929 2879800623 3702600801 6719534787 8639401869 20158604361 25918205607 60475813083 181427439249