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12735435541 is a prime number
BaseRepresentation
bin10111101110001011…
…10101001100010101
31012212112222011020211
423313011311030111
5202040232414131
65503420325421
7630411262453
oct136705651425
935775864224
1012735435541
115445904244
1225750a3871
13127c62cc9a
1488b57b9d3
154e80e25b1
hex2f7175315

12735435541 has 2 divisors, whose sum is σ = 12735435542. Its totient is φ = 12735435540.

The previous prime is 12735435527. The next prime is 12735435563. The reversal of 12735435541 is 14553453721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6963234916 + 5772200625 = 83446^2 + 75975^2 .

It is a cyclic number.

It is not a de Polignac number, because 12735435541 - 211 = 12735433493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12735435494 and 12735435503.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12735433541) 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 as a sum of consecutive naturals, namely, 6367717770 + 6367717771.

It is an arithmetic number, because the mean of its divisors is an integer number (6367717771).

Almost surely, 212735435541 is an apocalyptic number.

It is an amenable number.

12735435541 is a deficient number, since it is larger than the sum of its proper divisors (1).

12735435541 is an equidigital number, since it uses as much as digits as its factorization.

12735435541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252000, while the sum is 40.

The spelling of 12735435541 in words is "twelve billion, seven hundred thirty-five million, four hundred thirty-five thousand, five hundred forty-one".