Base | Representation |
---|---|
bin | 11000001110001101… |
… | …111011010001010001 |
3 | 2111010120021100000000 |
4 | 120032031323101101 |
5 | 411231113213231 |
6 | 15540440520213 |
7 | 1610340126564 |
oct | 301615732121 |
9 | 74116240000 |
10 | 26008335441 |
11 | 10037033400 |
12 | 505a180069 |
13 | 25b64016ca |
14 | 138a2644db |
15 | a2349d6e6 |
hex | 60e37b451 |
26008335441 has 81 divisors (see below), whose sum is σ = 43117544379. Its totient is φ = 15675541200.
The previous prime is 26008335413. The next prime is 26008335469. The reversal of 26008335441 is 14453380062.
The square root of 26008335441 is 161271.
It is a perfect power (a square), and thus also a powerful number.
26008335441 is a `hidden beast` number, since 2 + 600 + 8 + 3 + 3 + 5 + 4 + 41 = 666.
It is an interprime number because it is at equal distance from previous prime (26008335413) and next prime (26008335469).
It can be written as a sum of positive squares in only one way, i.e., 286591041 + 25721744400 = 16929^2 + 160380^2 .
It is a tau number, because it is divible by the number of its divisors (81).
It is not a de Polignac number, because 26008335441 - 27 = 26008335313 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 26008335396 and 26008335405.
It is not an unprimeable number, because it can be changed into a prime (26008335491) 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 80 ways as a sum of consecutive naturals, for example, 143692371 + ... + 143692551.
Almost surely, 226008335441 is an apocalyptic number.
26008335441 is the 161271-st square number.
26008335441 is the 80636-th centered octagonal number.
It is an amenable number.
26008335441 is a deficient number, since it is larger than the sum of its proper divisors (17109208938).
26008335441 is an frugal number, since it uses more digits than its factorization.
26008335441 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 408 (or 195 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
Multiplying 26008335441 by its sum of digits (36), we get a square (936300075876 = 9676262).
The spelling of 26008335441 in words is "twenty-six billion, eight million, three hundred thirty-five thousand, four hundred forty-one".
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