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36068466889 = 7213220872
BaseRepresentation
bin100001100101110110…
…010010000011001001
310110002200011221222001
4201211312102003021
51042332011420024
624323012231001
72414544624100
oct414566220311
9113080157861
1036068466889
1114329789024
126ba730b461
13352a6b3900
141a6239b037
15e11788244
hex865d920c9

36068466889 has 27 divisors (see below), whose sum is σ = 45454720167. Its totient is φ = 28524014064.

The previous prime is 36068466887. The next prime is 36068466893. The reversal of 36068466889 is 98866486063.

The square root of 36068466889 is 189917.

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

It can be written as a sum of positive squares in only one way, i.e., 5335572025 + 30732894864 = 73045^2 + 175308^2 .

It is not a de Polignac number, because 36068466889 - 21 = 36068466887 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36068466889.

It is not an unprimeable number, because it can be changed into a prime (36068466881) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17281404 + ... + 17283490.

Almost surely, 236068466889 is an apocalyptic number.

36068466889 is the 189917-th square number.

36068466889 is the 94959-th centered octagonal number.

It is an amenable number.

36068466889 is a deficient number, since it is larger than the sum of its proper divisors (9386253278).

36068466889 is an frugal number, since it uses more digits than its factorization.

36068466889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 64.

Multiplying 36068466889 by its sum of digits (64), we get a square (2308381880896 = 15193362).

The spelling of 36068466889 in words is "thirty-six billion, sixty-eight million, four hundred sixty-six thousand, eight hundred eighty-nine".

Divisors: 1 7 13 49 91 169 637 1183 2087 8281 14609 27131 102263 189917 352703 1329419 2468921 4355569 17282447 30488983 56622397 213422881 396356779 736091161 2774497453 5152638127 36068466889