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136627076161 = 17412792
BaseRepresentation
bin111111100111110011…
…0111011110001000001
3111001122202221121002001
41333033212323301001
54214303012414121
6142433212224001
712604513662052
oct1771746736101
9431582847061
10136627076161
1152a41471584
122259016b001
13cb64b59384
1468816ac729
153849a66991
hex1fcf9bbc41

136627076161 has 15 divisors (see below), whose sum is σ = 145279754661. Its totient is φ = 128489649696.

The previous prime is 136627076153. The next prime is 136627076191. The reversal of 136627076161 is 161670726631.

The square root of 136627076161 is 369631.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 42402634561 + 94224441600 = 205919^2 + 306960^2 .

It is not a de Polignac number, because 136627076161 - 23 = 136627076153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136627076141) 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 in 14 ways as a sum of consecutive naturals, for example, 106822720 + ... + 106823998.

Almost surely, 2136627076161 is an apocalyptic number.

136627076161 is the 369631-st square number.

136627076161 is the 184816-th centered octagonal number.

It is an amenable number.

136627076161 is a deficient number, since it is larger than the sum of its proper divisors (8652678500).

136627076161 is an frugal number, since it uses more digits than its factorization.

136627076161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 136627076161 in words is "one hundred thirty-six billion, six hundred twenty-seven million, seventy-six thousand, one hundred sixty-one".

Divisors: 1 17 289 1279 4913 21743 83521 369631 1635841 6283727 27809297 106823359 472758049 8036886833 136627076161