Base | Representation |
---|---|
bin | 10101000000010101… |
… | …11110010001000100 |
3 | 1002002220222101000100 |
4 | 22200022332101010 |
5 | 141043423300021 |
6 | 5103004444100 |
7 | 546313216632 |
oct | 124012762104 |
9 | 32086871010 |
10 | 11277165636 |
11 | 4867736500 |
12 | 2228849630 |
13 | 10a948bb99 |
14 | 78da1c352 |
15 | 46008c626 |
hex | 2a02be444 |
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".
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