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135686645613577 is a prime number
BaseRepresentation
bin11110110110100000000010…
…010100000000010000001001
3122210102111221121222200200101
4132312200002110000100021
5120241042222234113302
61200325330125005401
740403015365656142
oct3666400224002011
9583374847880611
10135686645613577
113a263424118193
1213274b930b3861
135a93271183a86
1425713a93d0ac9
1510a47c376c287
hex7b6802500409

135686645613577 has 2 divisors, whose sum is σ = 135686645613578. Its totient is φ = 135686645613576.

The previous prime is 135686645613557. The next prime is 135686645613583. The reversal of 135686645613577 is 775316546686531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107960744653056 + 27725900960521 = 10390416^2 + 5265539^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135686645613577 is a prime.

It is not a weakly prime, because it can be changed into another prime (135686645613557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67843322806788 + 67843322806789.

It is an arithmetic number, because the mean of its divisors is an integer number (67843322806789).

Almost surely, 2135686645613577 is an apocalyptic number.

It is an amenable number.

135686645613577 is a deficient number, since it is larger than the sum of its proper divisors (1).

135686645613577 is an equidigital number, since it uses as much as digits as its factorization.

135686645613577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2286144000, while the sum is 73.

The spelling of 135686645613577 in words is "one hundred thirty-five trillion, six hundred eighty-six billion, six hundred forty-five million, six hundred thirteen thousand, five hundred seventy-seven".