Base | Representation |
---|---|
bin | 10101110101100010… |
… | …11111100100100000 |
3 | 1010021000210001001200 |
4 | 22322301133210200 |
5 | 143002202034021 |
6 | 5215150401200 |
7 | 563342601066 |
oct | 127261374440 |
9 | 33230701050 |
10 | 11723471136 |
11 | 4a76659423 |
12 | 2332200200 |
13 | 114aa94090 |
14 | 7d2dd8036 |
15 | 48934b126 |
hex | 2bac5f920 |
11723471136 has 144 divisors (see below), whose sum is σ = 35985995136. Its totient is φ = 3598898688.
The previous prime is 11723471131. The next prime is 11723471147. The reversal of 11723471136 is 63117432711.
It is a happy number.
11723471136 is a `hidden beast` number, since 1 + 172 + 3 + 471 + 13 + 6 = 666.
11723471136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 11723471136.
It is not an unprimeable number, because it can be changed into a prime (11723471131) 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 23 ways as a sum of consecutive naturals, for example, 1730091 + ... + 1736853.
It is an arithmetic number, because the mean of its divisors is an integer number (249902744).
Almost surely, 211723471136 is an apocalyptic number.
11723471136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11723471136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17992997568).
11723471136 is an abundant number, since it is smaller than the sum of its proper divisors (24262524000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11723471136 is a wasteful number, since it uses less digits than its factorization.
11723471136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7255 (or 7244 counting only the distinct ones).
The product of its digits is 21168, while the sum is 36.
The spelling of 11723471136 in words is "eleven billion, seven hundred twenty-three million, four hundred seventy-one thousand, one hundred thirty-six".
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