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3349742479433 = 7268362091417
BaseRepresentation
bin110000101111101100001…
…101011110100001001001
3102212020021022110002000022
4300233230031132201021
5414340233033320213
611042503410350225
7464003512165400
oct60575415364111
912766238402008
103349742479433
111081688336009
12461251b8b375
131b3b57c5499c
14b81b2492637
155c203d7a308
hex30bec35e849

3349742479433 has 6 divisors (see below), whose sum is σ = 3896639210826. Its totient is φ = 2871207839472.

The previous prime is 3349742479429. The next prime is 3349742479451.

3349742479433 is nontrivially palindromic in base 10.

3349742479433 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., 2914897192249 + 434845287184 = 1707307^2 + 659428^2 .

It is not a de Polignac number, because 3349742479433 - 22 = 3349742479429 is a prime.

It is a super-3 number, since 3×33497424794333 (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 (3349742479453) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34181045660 + ... + 34181045757.

It is an arithmetic number, because the mean of its divisors is an integer number (649439868471).

Almost surely, 23349742479433 is an apocalyptic number.

It is an amenable number.

3349742479433 is a deficient number, since it is larger than the sum of its proper divisors (546896731393).

3349742479433 is an equidigital number, since it uses as much as digits as its factorization.

3349742479433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68362091431 (or 68362091424 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 62.

The spelling of 3349742479433 in words is "three trillion, three hundred forty-nine billion, seven hundred forty-two million, four hundred seventy-nine thousand, four hundred thirty-three".

Divisors: 1 7 49 68362091417 478534639919 3349742479433