Search a number
-
+
26457312241 = 372557279649
BaseRepresentation
bin11000101000111110…
…101000101111110001
32112021212002201101101
4120220332220233301
5413141032442431
620053200004401
71624431305053
oct305076505761
975255081341
1026457312241
1110247510308
125164600701
132658430759
1413cdb378d3
15a4cad8961
hex628fa8bf1

26457312241 has 8 divisors (see below), whose sum is σ = 27183098600. Its totient is φ = 25732090368.

The previous prime is 26457312191. The next prime is 26457312247. The reversal of 26457312241 is 14221375462.

It can be written as a sum of positive squares in 4 ways, for example, as 3329290000 + 23128022241 = 57700^2 + 152079^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 26457312241 - 219 = 26456787953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26457312241.

It is not an unprimeable number, because it can be changed into a prime (26457312247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45216 + ... + 234433.

It is an arithmetic number, because the mean of its divisors is an integer number (3397887325).

Almost surely, 226457312241 is an apocalyptic number.

It is an amenable number.

26457312241 is a deficient number, since it is larger than the sum of its proper divisors (725786359).

26457312241 is a wasteful number, since it uses less digits than its factorization.

26457312241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282243.

The product of its digits is 80640, while the sum is 37.

The spelling of 26457312241 in words is "twenty-six billion, four hundred fifty-seven million, three hundred twelve thousand, two hundred forty-one".

Divisors: 1 37 2557 94609 279649 10347013 715062493 26457312241