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12685058777 is a prime number
BaseRepresentation
bin10111101000001011…
…01010001011011001
31012202001011202022202
423310011222023121
5201434333340102
65454420455545
7626230135436
oct136405521331
935661152282
1012685058777
11541a426456
12256024a5b5
131272072251
148849c6b8d
154e3990e02
hex2f416a2d9

12685058777 has 2 divisors, whose sum is σ = 12685058778. Its totient is φ = 12685058776.

The previous prime is 12685058767. The next prime is 12685058783. The reversal of 12685058777 is 77785058621.

12685058777 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12538624576 + 146434201 = 111976^2 + 12101^2 .

It is a cyclic number.

It is not a de Polignac number, because 12685058777 - 26 = 12685058713 is a prime.

It is not a weakly prime, because it can be changed into another prime (12685058767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6342529388 + 6342529389.

It is an arithmetic number, because the mean of its divisors is an integer number (6342529389).

Almost surely, 212685058777 is an apocalyptic number.

It is an amenable number.

12685058777 is a deficient number, since it is larger than the sum of its proper divisors (1).

12685058777 is an equidigital number, since it uses as much as digits as its factorization.

12685058777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6585600, while the sum is 56.

The spelling of 12685058777 in words is "twelve billion, six hundred eighty-five million, fifty-eight thousand, seven hundred seventy-seven".