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136270735705 = 51310120757157
BaseRepresentation
bin111111011101001011…
…1100110100101011001
3111000201221102121212101
41332322113212211121
54213040302020310
6142334002443401
712562626066436
oct1767227464531
9430657377771
10136270735705
1152879306735
12224b0963561
13cb09093230
14684a230b8d
15382862943a
hex1fba5e6959

136270735705 has 16 divisors (see below), whose sum is σ = 177847329744. Its totient is φ = 99634348800.

The previous prime is 136270735669. The next prime is 136270735729. The reversal of 136270735705 is 507537072631.

It can be written as a sum of positive squares in 8 ways, for example, as 402564096 + 135868171609 = 20064^2 + 368603^2 .

It is not a de Polignac number, because 136270735705 - 213 = 136270727513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 10372014 + ... + 10385143.

It is an arithmetic number, because the mean of its divisors is an integer number (11115458109).

Almost surely, 2136270735705 is an apocalyptic number.

It is an amenable number.

136270735705 is a deficient number, since it is larger than the sum of its proper divisors (41576594039).

136270735705 is a wasteful number, since it uses less digits than its factorization.

136270735705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20757276.

The product of its (nonzero) digits is 926100, while the sum is 46.

The spelling of 136270735705 in words is "one hundred thirty-six billion, two hundred seventy million, seven hundred thirty-five thousand, seven hundred five".

Divisors: 1 5 13 65 101 505 1313 6565 20757157 103785785 269843041 1349215205 2096472857 10482364285 27254147141 136270735705