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34066468021 = 193701325169
BaseRepresentation
bin11111101110100001…
…010000110010110101
310020221011001212210211
4133232201100302311
51024232003434041
623352214345421
72314125125515
oct375641206265
9106834055724
1034066468021
11134a16a6703
12672895b271
13329b9b97b1
141912541845
15d45b2d481
hex7ee850cb5

34066468021 has 8 divisors (see below), whose sum is σ = 34249221720. Its totient is φ = 33883779072.

The previous prime is 34066467989. The next prime is 34066468027. The reversal of 34066468021 is 12086466043.

It can be written as a sum of positive squares in 4 ways, for example, as 3165750225 + 30900717796 = 56265^2 + 175786^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34066468021 - 25 = 34066467989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34066468027) 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 7 ways as a sum of consecutive naturals, for example, 1340925 + ... + 1366093.

It is an arithmetic number, because the mean of its divisors is an integer number (4281152715).

Almost surely, 234066468021 is an apocalyptic number.

It is an amenable number.

34066468021 is a deficient number, since it is larger than the sum of its proper divisors (182753699).

34066468021 is a wasteful number, since it uses less digits than its factorization.

34066468021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32375.

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 34066468021 in words is "thirty-four billion, sixty-six million, four hundred sixty-eight thousand, twenty-one".

Divisors: 1 193 7013 25169 1353509 4857617 176510197 34066468021