Search a number
-
+
86274647268 = 2237726393053
BaseRepresentation
bin101000001011001011…
…1101010010011100100
322020200121222011220020
41100112113222103210
52403142302203033
6103344541035140
76142652254605
oct1202627522344
9266617864806
1086274647268
1133652875487
1214879255ab0
13819c092a54
14426623bdac
15239e2a86b3
hex14165ea4e4

86274647268 has 24 divisors (see below), whose sum is σ = 201312279168. Its totient is φ = 28757534496.

The previous prime is 86274647227. The next prime is 86274647269.

86274647268 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×862746472682 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86274647269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 880630 + ... + 973682.

It is an arithmetic number, because the mean of its divisors is an integer number (8388011632).

Almost surely, 286274647268 is an apocalyptic number.

It is an amenable number.

86274647268 is an abundant number, since it is smaller than the sum of its proper divisors (115037631900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86274647268 is a wasteful number, since it uses less digits than its factorization.

86274647268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170323 (or 170321 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 60.

The spelling of 86274647268 in words is "eighty-six billion, two hundred seventy-four million, six hundred forty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 77263 93053 154526 186106 231789 279159 309052 372212 463578 558318 927156 1116636 7189553939 14379107878 21568661817 28758215756 43137323634 86274647268