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26649181441 = 25726921433
BaseRepresentation
bin11000110100011010…
…100011110100000001
32112210020010200110001
4120310122203310001
5414034142301231
620124212240001
71632251206351
oct306432436401
975706120401
1026649181441
111033584a4a3
1251b8910001
1326890cbc1c
14140b400b61
15a5e888b61
hex6346a3d01

26649181441 has 12 divisors (see below), whose sum is σ = 26871436332. Its totient is φ = 26428350464.

The previous prime is 26649181423. The next prime is 26649181457. The reversal of 26649181441 is 14418194662.

It can be written as a sum of positive squares in 6 ways, for example, as 6780816 + 26642400625 = 2604^2 + 163225^2 .

It is not a de Polignac number, because 26649181441 - 25 = 26649181409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 26649181391 and 26649181400.

It is not an unprimeable number, because it can be changed into a prime (26649181411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18596061 + ... + 18597493.

It is an arithmetic number, because the mean of its divisors is an integer number (2239286361).

Almost surely, 226649181441 is an apocalyptic number.

It is an amenable number.

26649181441 is a deficient number, since it is larger than the sum of its proper divisors (222254891).

26649181441 is an equidigital number, since it uses as much as digits as its factorization.

26649181441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 1959 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The spelling of 26649181441 in words is "twenty-six billion, six hundred forty-nine million, one hundred eighty-one thousand, four hundred forty-one".

Divisors: 1 257 269 1433 69133 72361 368281 385477 18596777 99067589 103693313 26649181441