Search a number
-
+
26482383648 = 253475327539
BaseRepresentation
bin11000101010011110…
…010001101100100000
32112100121021110220000
4120222132101230200
5413213442234043
620055453220000
71625154355410
oct305236215440
975317243800
1026482383648
111025a684886
125170a91600
13266069b2c6
1413d31c2640
15a4eddc2d3
hex62a791b20

26482383648 has 240 divisors, whose sum is σ = 90692965440. Its totient is φ = 7423363584.

The previous prime is 26482383643. The next prime is 26482383659. The reversal of 26482383648 is 84638328462.

26482383648 is a `hidden beast` number, since 2 + 6 + 48 + 238 + 364 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26482383594 and 26482383603.

It is not an unprimeable number, because it can be changed into a prime (26482383643) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 947863 + ... + 975401.

It is an arithmetic number, because the mean of its divisors is an integer number (377887356).

Almost surely, 226482383648 is an apocalyptic number.

26482383648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26482383648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45346482720).

26482383648 is an abundant number, since it is smaller than the sum of its proper divisors (64210581792).

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

26482383648 is a wasteful number, since it uses less digits than its factorization.

26482383648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27621 (or 27604 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 26482383648 in words is "twenty-six billion, four hundred eighty-two million, three hundred eighty-three thousand, six hundred forty-eight".