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26381342241 = 3243199509673
BaseRepresentation
bin11000100100011100…
…110101011000100001
32112002120011001010200
4120210130311120201
5413012110422431
620041443415413
71622516465142
oct304434653041
975076131120
1026381342241
1110208641991
125143084569
1326457817a7
1413c39ddac9
15a460cdee6
hex624735621

26381342241 has 48 divisors (see below), whose sum is σ = 39323856000. Its totient is φ = 17033296896.

The previous prime is 26381342201. The next prime is 26381342249. The reversal of 26381342241 is 14224318362.

26381342241 is a `hidden beast` number, since 2 + 6 + 381 + 34 + 2 + 241 = 666.

It is not a de Polignac number, because 26381342241 - 214 = 26381325857 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 26381342196 and 26381342205.

It is not an unprimeable number, because it can be changed into a prime (26381342249) 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, 39199281 + ... + 39199953.

It is an arithmetic number, because the mean of its divisors is an integer number (819247000).

Almost surely, 226381342241 is an apocalyptic number.

It is an amenable number.

26381342241 is a deficient number, since it is larger than the sum of its proper divisors (12942513759).

26381342241 is a wasteful number, since it uses less digits than its factorization.

26381342241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1427 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 26381342241 in words is "twenty-six billion, three hundred eighty-one million, three hundred forty-two thousand, two hundred forty-one".

Divisors: 1 3 9 43 129 199 387 509 597 673 1527 1791 2019 4581 6057 8557 21887 25671 28939 65661 77013 86817 101291 133927 196983 260451 303873 342557 401781 911619 1027671 1205343 3083013 4355513 5758861 13066539 14729951 17276583 39199617 44189853 51829749 68168843 132569559 204506529 613519587 2931260249 8793780747 26381342241