Search a number
-
+
11861892244048 = 24721173122915331
BaseRepresentation
bin1010110010011100111111…
…0111111010001001010000
31112222222121122222011220011
42230213033313322021100
53023321123403302143
641121140021324304
72332664514320500
oct254471767721120
945888548864804
1011861892244048
113863666a29720
1213b6ab7866694
13680757b77132
142d01937d9a00
1515884d3c8e9d
hexac9cfdfa250

11861892244048 has 240 divisors, whose sum is σ = 29590577242560. Its totient is φ = 4554202060800.

The previous prime is 11861892243937. The next prime is 11861892244061. The reversal of 11861892244048 is 84044229816811.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11861892243983 and 11861892244001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 773711743 + ... + 773727073.

It is an arithmetic number, because the mean of its divisors is an integer number (123294071844).

Almost surely, 211861892244048 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 11861892244048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14795288621280).

11861892244048 is an abundant number, since it is smaller than the sum of its proper divisors (17728684998512).

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

11861892244048 is a wasteful number, since it uses less digits than its factorization.

11861892244048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16666 (or 16653 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 58.

The spelling of 11861892244048 in words is "eleven trillion, eight hundred sixty-one billion, eight hundred ninety-two million, two hundred forty-four thousand, forty-eight".