Base | Representation |
---|---|
bin | 1010101111111000100110… |
… | …00011011101011100001101 |
3 | 10002200112102100120210010100 |
4 | 11113330103003131130031 |
5 | 11044221023311012023 |
6 | 122134002105401313 |
7 | 4656416223104445 |
oct | 527742303353415 |
9 | 102615370523110 |
10 | 23635524704013 |
11 | 7592851578222 |
12 | 2798881499239 |
13 | 1025a885b9451 |
14 | 5b9d7348b125 |
15 | 2aec330c0c43 |
hex | 157f130dd70d |
23635524704013 has 48 divisors (see below), whose sum is σ = 37244167689456. Its totient is φ = 14384789422080.
The previous prime is 23635524703939. The next prime is 23635524704017. The reversal of 23635524704013 is 31040742553632.
It is a happy number.
23635524704013 is a `hidden beast` number, since 2 + 3 + 6 + 3 + 5 + 524 + 70 + 40 + 13 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 1140585552324 + 22494939151689 = 1067982^2 + 4742883^2 .
It is not a de Polignac number, because 23635524704013 - 213 = 23635524695821 is a prime.
It is a super-2 number, since 2×236355247040132 (a number of 28 digits) contains 22 as substring.
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 23635524704013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23635524704017) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9804420 + ... + 11974877.
It is an arithmetic number, because the mean of its divisors is an integer number (775920160197).
Almost surely, 223635524704013 is an apocalyptic number.
It is an amenable number.
23635524704013 is a deficient number, since it is larger than the sum of its proper divisors (13608642985443).
23635524704013 is a wasteful number, since it uses less digits than its factorization.
23635524704013 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21779534 (or 21779531 counting only the distinct ones).
The product of its (nonzero) digits is 1814400, while the sum is 45.
The spelling of 23635524704013 in words is "twenty-three trillion, six hundred thirty-five billion, five hundred twenty-four million, seven hundred four thousand, thirteen".
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