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135933456889 is a prime number
BaseRepresentation
bin111111010011001000…
…0111111000111111001
3110222212102210002022101
41332212100333013321
54211342431110024
6142240313423401
712551362214326
oct1764620770771
9428772702271
10135933456889
115271599010a
1222417a0ab61
13ca84242379
146817515b4d
153808c04c44
hex1fa643f1f9

135933456889 has 2 divisors, whose sum is σ = 135933456890. Its totient is φ = 135933456888.

The previous prime is 135933456863. The next prime is 135933456973. The reversal of 135933456889 is 988654339531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135155493225 + 777963664 = 367635^2 + 27892^2 .

It is a cyclic number.

It is not a de Polignac number, because 135933456889 - 219 = 135932932601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135933456889.

It is not a weakly prime, because it can be changed into another prime (135933456829) 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 as a sum of consecutive naturals, namely, 67966728444 + 67966728445.

It is an arithmetic number, because the mean of its divisors is an integer number (67966728445).

Almost surely, 2135933456889 is an apocalyptic number.

It is an amenable number.

135933456889 is a deficient number, since it is larger than the sum of its proper divisors (1).

135933456889 is an equidigital number, since it uses as much as digits as its factorization.

135933456889 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 83980800, while the sum is 64.

The spelling of 135933456889 in words is "one hundred thirty-five billion, nine hundred thirty-three million, four hundred fifty-six thousand, eight hundred eighty-nine".