Search a number
-
+
11277165636 = 223211216092
BaseRepresentation
bin10101000000010101…
…11110010001000100
31002002220222101000100
422200022332101010
5141043423300021
65103004444100
7546313216632
oct124012762104
932086871010
1011277165636
114867736500
122228849630
1310a948bb99
1478da1c352
1546008c626
hex2a02be444

11277165636 has 81 divisors (see below), whose sum is σ = 31352712573. Its totient is φ = 3415199040.

The previous prime is 11277165631. The next prime is 11277165643. The reversal of 11277165636 is 63656177211.

The square root of 11277165636 is 106194.

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

11277165636 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 7 + 1 + 6 + 5 + 636 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11026260036 + 250905600 = 105006^2 + 15840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11277165591 and 11277165600.

It is not an unprimeable number, because it can be changed into a prime (11277165631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7008000 + ... + 7009608.

Almost surely, 211277165636 is an apocalyptic number.

11277165636 is the 106194-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11277165636

11277165636 is an abundant number, since it is smaller than the sum of its proper divisors (20075546937).

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

11277165636 is a wasteful number, since it uses less digits than its factorization.

11277165636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 1625 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The spelling of 11277165636 in words is "eleven billion, two hundred seventy-seven million, one hundred sixty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 1609 2178 3218 4356 4827 6436 9654 14481 17699 19308 28962 35398 53097 57924 70796 106194 159291 194689 212388 318582 389378 584067 637164 778756 1168134 1752201 2336268 2588881 3504402 5177762 7008804 7766643 10355524 15533286 23299929 28477691 31066572 46599858 56955382 85433073 93199716 113910764 170866146 256299219 313254601 341732292 512598438 626509202 939763803 1025196876 1253018404 1879527606 2819291409 3759055212 5638582818 11277165636