Search a number
-
+
11770816969824 = 25311107266339119
BaseRepresentation
bin1010101101001001101101…
…0111010011110001100000
31112200021112110202212211120
42223102123113103301200
53020323113121013244
641011234430212240
72323261550261613
oct253223327236140
945607473685746
1011770816969824
113828a80351150
1213a131a954080
13674ca2350623
142c99d3b9817a
151562bc94c819
hexab49b5d3c60

11770816969824 has 192 divisors, whose sum is σ = 34036007362560. Its totient is φ = 3532161374720.

The previous prime is 11770816969787. The next prime is 11770816969853. The reversal of 11770816969824 is 42896961807711.

11770816969824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300878137 + ... + 300917255.

It is an arithmetic number, because the mean of its divisors is an integer number (177270871680).

Almost surely, 211770816969824 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 11770816969824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17018003681280).

11770816969824 is an abundant number, since it is smaller than the sum of its proper divisors (22265190392736).

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

11770816969824 is a wasteful number, since it uses less digits than its factorization.

11770816969824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41913 (or 41905 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 69.

The spelling of 11770816969824 in words is "eleven trillion, seven hundred seventy billion, eight hundred sixteen million, nine hundred sixty-nine thousand, eight hundred twenty-four".