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135685806486217 = 1321747227917329
BaseRepresentation
bin11110110110011111010000…
…010010111111001011001001
3122210102102210011000121100021
4132312133100102333023021
5120241034012430024332
61200325110551340441
740402655526340531
oct3666372022771311
9583372704017307
10135685806486217
113a2630334923a9
121327499a081721
135a93169381600
142571329b9c4c1
1510a4774c66c97
hex7b67d04bf2c9

135685806486217 has 12 divisors (see below), whose sum is σ = 155568759685020. Its totient is φ = 117880881650688.

The previous prime is 135685806486029. The next prime is 135685806486283. The reversal of 135685806486217 is 712684608586531.

It can be written as a sum of positive squares in 6 ways, for example, as 41490023481 + 135644316462736 = 203691^2 + 11646644^2 .

It is not a de Polignac number, because 135685806486217 - 211 = 135685806484169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135685806406217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23613955792 + ... + 23613961537.

It is an arithmetic number, because the mean of its divisors is an integer number (12964063307085).

Almost surely, 2135685806486217 is an apocalyptic number.

135685806486217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

135685806486217 is a deficient number, since it is larger than the sum of its proper divisors (19882953198803).

135685806486217 is a wasteful number, since it uses less digits than its factorization.

135685806486217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47227917372 (or 47227917359 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 70.

The spelling of 135685806486217 in words is "one hundred thirty-five trillion, six hundred eighty-five billion, eight hundred six million, four hundred eighty-six thousand, two hundred seventeen".

Divisors: 1 13 17 169 221 2873 47227917329 613962925277 802874594593 7981518028601 10437369729709 135685806486217