Base | Representation |
---|---|
bin | 1010101101111010001110… |
… | …10000100000110101000000 |
3 | 10002110001022012210210101221 |
4 | 11112331013100200311000 |
5 | 11042113102323024011 |
6 | 122042502045004424 |
7 | 4651465051506400 |
oct | 526750720406500 |
9 | 102401265723357 |
10 | 23567681064256 |
11 | 7566aa760955a |
12 | 27876a8853714 |
13 | 101c565b34004 |
14 | 5b6978dd2800 |
15 | 2ad0b1e5b971 |
hex | 156f47420d40 |
23567681064256 has 168 divisors, whose sum is σ = 55921680557736. Its totient is φ = 9818870906880.
The previous prime is 23567681064217. The next prime is 23567681064259. The reversal of 23567681064256 is 65246018676532.
It can be written as a sum of positive squares in 4 ways, for example, as 9114119481600 + 14453561582656 = 3018960^2 + 3801784^2 .
It is a junction number, because it is equal to n+sod(n) for n = 23567681064194 and 23567681064203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23567681064259) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133696816 + ... + 133872976.
It is an arithmetic number, because the mean of its divisors is an integer number (332867146177).
Almost surely, 223567681064256 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23567681064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27960840278868).
23567681064256 is an abundant number, since it is smaller than the sum of its proper divisors (32353999493480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23567681064256 is a wasteful number, since it uses less digits than its factorization.
23567681064256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 177377 (or 177360 counting only the distinct ones).
The product of its (nonzero) digits is 87091200, while the sum is 61.
The spelling of 23567681064256 in words is "twenty-three trillion, five hundred sixty-seven billion, six hundred eighty-one million, sixty-four thousand, two hundred fifty-six".
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