| Base | Representation |
|---|---|
| bin | 11000100100101011… |
| … | …010001111100001001 |
| 3 | 2112002211021102220100 |
| 4 | 120210223101330021 |
| 5 | 413014043113400 |
| 6 | 20042100520013 |
| 7 | 1622563620000 |
| oct | 304453217411 |
| 9 | 75084242810 |
| 10 | 26385129225 |
| 11 | 1020a799124 |
| 12 | 51443b0009 |
| 13 | 26464a9400 |
| 14 | 13c4307c37 |
| 15 | a465cb100 |
| hex | 624ad1f09 |
26385129225 has 405 divisors, whose sum is σ = 63417281343. Its totient is φ = 10479006720.
The previous prime is 26385129223. The next prime is 26385129227. The reversal of 26385129225 is 52292158362.
The square root of 26385129225 is 162435.
It is a perfect power (a square), and thus also a powerful number.
26385129225 is a `hidden beast` number, since 2 + 638 + 5 + 1 + 2 + 9 + 2 + 2 + 5 = 666.
It is an interprime number because it is at equal distance from previous prime (26385129223) and next prime (26385129227).
It can be written as a sum of positive squares in 13 ways, for example, as 19215781641 + 7169347584 = 138621^2 + 84672^2 .
It is not a de Polignac number, because 26385129225 - 21 = 26385129223 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (45).
Its product of digits (518400) is a multiple of the sum of its prime divisors (45).
It is not an unprimeable number, because it can be changed into a prime (26385129223) by changing a digit.
It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1552066417 + ... + 1552066433.
Almost surely, 226385129225 is an apocalyptic number.
26385129225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.
26385129225 is the 162435-th square number.
26385129225 is the 81218-th centered octagonal number.
It is an amenable number.
26385129225 is an abundant number, since it is smaller than the sum of its proper divisors (37032152118).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
26385129225 is a wasteful number, since it uses less digits than its factorization.
26385129225 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 104 (or 45 counting only the distinct ones).
The product of its digits is 518400, while the sum is 45.
The spelling of 26385129225 in words is "twenty-six billion, three hundred eighty-five million, one hundred twenty-nine thousand, two hundred twenty-five".
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