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4084550134729 = 1009220032
BaseRepresentation
bin111011011100000010001…
…010001110101111001001
3112110110221022200120100121
4323130002022032233021
51013410124313302404
612404225540503241
7601045650203461
oct73340212165711
915413838616317
104084550134729
111335280081279
1255b7436aab21
1323822c80b85c
1410199c514ba1
15713adb6be54
hex3b70228ebc9

4084550134729 has 9 divisors (see below), whose sum is σ = 4090644522183. Its totient is φ = 4078464822432.

The previous prime is 4084550134723. The next prime is 4084550134789. The reversal of 4084550134729 is 9274310554804.

The square root of 4084550134729 is 2021027.

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

4084550134729 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., 1253676584329 + 2830873550400 = 1119677^2 + 1682520^2 .

It is not a de Polignac number, because 4084550134729 - 217 = 4084550003657 is a prime.

It is a super-3 number, since 3×40845501347293 (a number of 39 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 (4084550134723) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2039215242 + ... + 2039217244.

Almost surely, 24084550134729 is an apocalyptic number.

4084550134729 is the 2021027-th square number.

4084550134729 is the 1010514-th centered octagonal number.

It is an amenable number.

4084550134729 is a deficient number, since it is larger than the sum of its proper divisors (6094387454).

4084550134729 is an frugal number, since it uses more digits than its factorization.

4084550134729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 4084550134729 in words is "four trillion, eighty-four billion, five hundred fifty million, one hundred thirty-four thousand, seven hundred twenty-nine".

Divisors: 1 1009 2003 1018081 2021027 4012009 2039216243 4048117081 4084550134729