Search a number
-
+
26313536808 = 233213312513613
BaseRepresentation
bin11000100000011010…
…001011010100101000
32111220211120011120100
4120200122023110220
5412342231134213
620031022225400
71621034241516
oct304032132450
974824504510
1026313536808
111018333a739
125124425260
132634700b30
1413b89cd4b6
15a40188773
hex62068b528

26313536808 has 192 divisors, whose sum is σ = 79561198080. Its totient is φ = 7801920000.

The previous prime is 26313536807. The next prime is 26313536881. The reversal of 26313536808 is 80863531362.

26313536808 is a `hidden beast` number, since 2 + 6 + 31 + 3 + 536 + 80 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (26313536807) by changing a digit.

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, 7281210 + ... + 7284822.

It is an arithmetic number, because the mean of its divisors is an integer number (414381240).

Almost surely, 226313536808 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 26313536808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39780599040).

26313536808 is an abundant number, since it is smaller than the sum of its proper divisors (53247661272).

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

26313536808 is a wasteful number, since it uses less digits than its factorization.

26313536808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 26313536808 in words is "twenty-six billion, three hundred thirteen million, five hundred thirty-six thousand, eight hundred eight".