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26443638225 = 32523722932
BaseRepresentation
bin11000101000001010…
…011110010111010001
32112020220101000011100
4120220022132113101
5413124032410400
620051550535013
71624204134114
oct305012362721
975226330140
1026443638225
111023a820874
12515bb07469
132655653814
1413cbdb857b
15a4b7d7100
hex62829e5d1

26443638225 has 81 divisors (see below), whose sum is σ = 48844890003. Its totient is φ = 13675271040.

The previous prime is 26443638211. The next prime is 26443638253. The reversal of 26443638225 is 52283634462.

The square root of 26443638225 is 162615.

It is a perfect power (a square), and thus also a powerful number.

26443638225 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 3 + 638 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 164634561 + 26279003664 = 12831^2 + 162108^2 .

It is not a de Polignac number, because 26443638225 - 227 = 26309420497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 90251179 + ... + 90251471.

Almost surely, 226443638225 is an apocalyptic number.

26443638225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26443638225 is the 162615-th square number.

26443638225 is the 81308-th centered octagonal number.

It is an amenable number.

26443638225 is a deficient number, since it is larger than the sum of its proper divisors (22401251778).

26443638225 is an equidigital number, since it uses as much as digits as its factorization.

26443638225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 338 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 26443638225 in words is "twenty-six billion, four hundred forty-three million, six hundred thirty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 185 225 293 333 555 879 925 1369 1465 1665 2637 2775 4107 4395 6845 7325 8325 10841 12321 13185 20535 21975 32523 34225 54205 61605 65925 85849 97569 102675 162615 257547 271025 308025 401117 429245 487845 772641 813075 1203351 1287735 2005585 2146225 2439225 3176413 3610053 3863205 6016755 6438675 9529239 10027925 15882065 18050265 19316025 28587717 30083775 47646195 79410325 90251325 117527281 142938585 238230975 352581843 587636405 714692925 1057745529 1762909215 2938182025 5288727645 8814546075 26443638225