Search a number
-
+
26541881856 = 293271797499
BaseRepresentation
bin11000101110000001…
…001111101000000000
32112111202020022002100
4120232001033220000
5413324210204411
620105420350400
71626506162520
oct305601175000
975452208070
1026541881856
1110290222756
1251889a5400
13266cb00a49
1413db06d680
15a55241456
hex62e04fa00

26541881856 has 480 divisors, whose sum is σ = 93837744000. Its totient is φ = 7049576448.

The previous prime is 26541881801. The next prime is 26541881867. The reversal of 26541881856 is 65818814562.

26541881856 is a `hidden beast` number, since 2 + 6 + 541 + 88 + 18 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53189895 + ... + 53190393.

It is an arithmetic number, because the mean of its divisors is an integer number (195495300).

Almost surely, 226541881856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26541881856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46918872000).

26541881856 is an abundant number, since it is smaller than the sum of its proper divisors (67295862144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26541881856 is a wasteful number, since it uses less digits than its factorization.

26541881856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 625 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The spelling of 26541881856 in words is "twenty-six billion, five hundred forty-one million, eight hundred eighty-one thousand, eight hundred fifty-six".