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132704431333 = 4723892397
BaseRepresentation
bin111101110010111001…
…1001110110011100101
3110200112101210120222021
41323211303032303211
54133234313300313
6140544044303141
712405353024545
oct1734563166345
9420471716867
10132704431333
1151309212451
1221876541ab1
13c68b280266
1465cc733325
1536ba4c178d
hex1ee5ccece5

132704431333 has 18 divisors (see below), whose sum is σ = 136279867346. Its totient is φ = 129220733664.

The previous prime is 132704431331. The next prime is 132704431439. The reversal of 132704431333 is 333134407231.

It can be written as a sum of positive squares in 3 ways, for example, as 5313972609 + 127390458724 = 72897^2 + 356918^2 .

It is not a de Polignac number, because 132704431333 - 21 = 132704431331 is a prime.

It is a super-3 number, since 3×1327044313333 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132704431331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 334267891 + ... + 334268287.

Almost surely, 2132704431333 is an apocalyptic number.

It is an amenable number.

132704431333 is a deficient number, since it is larger than the sum of its proper divisors (3575436013).

132704431333 is an frugal number, since it uses more digits than its factorization.

132704431333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 34.

Adding to 132704431333 its reverse (333134407231), we get a palindrome (465838838564).

The spelling of 132704431333 in words is "one hundred thirty-two billion, seven hundred four million, four hundred thirty-one thousand, three hundred thirty-three".

Divisors: 1 47 389 397 2209 18283 18659 151321 154433 859301 876973 7112087 7258351 60074437 334268089 341142497 2823498539 132704431333