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135312644246777 is a prime number
BaseRepresentation
bin11110110001000011101110…
…000110000000110011111001
3122202002202120211102201201022
4132301003232012000303321
5120213430243411344102
61155441434241432225
740334005315545434
oct3661035606006371
9582082524381638
10135312644246777
113a1298520a1808
12132145b693b675
135a66c09c2ac7a
14255b24a08881b
151099bd45575a2
hex7b10ee180cf9

135312644246777 has 2 divisors, whose sum is σ = 135312644246778. Its totient is φ = 135312644246776.

The previous prime is 135312644246771. The next prime is 135312644246797. The reversal of 135312644246777 is 777642446213531.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85976363254336 + 49336280992441 = 9272344^2 + 7023979^2 .

It is a cyclic number.

It is not a de Polignac number, because 135312644246777 - 26 = 135312644246713 is a prime.

It is not a weakly prime, because it can be changed into another prime (135312644246771) 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, 67656322123388 + 67656322123389.

It is an arithmetic number, because the mean of its divisors is an integer number (67656322123389).

Almost surely, 2135312644246777 is an apocalyptic number.

It is an amenable number.

135312644246777 is a deficient number, since it is larger than the sum of its proper divisors (1).

135312644246777 is an equidigital number, since it uses as much as digits as its factorization.

135312644246777 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 142248960, while the sum is 62.

The spelling of 135312644246777 in words is "one hundred thirty-five trillion, three hundred twelve billion, six hundred forty-four million, two hundred forty-six thousand, seven hundred seventy-seven".