Search a number
-
+
12189311808 = 2634171113193
BaseRepresentation
bin10110101101000101…
…00010001101000000
31011110111100012022220
423112202202031000
5144430430434213
65333311131040
7611030304132
oct132642421500
934414305286
1012189311808
115195604413
122442213a80
1311c3448c4b
14838c1b052
154b51b7e23
hex2d68a2340

12189311808 has 224 divisors, whose sum is σ = 33974422272. Its totient is φ = 3853516800.

The previous prime is 12189311807. The next prime is 12189311833. The reversal of 12189311808 is 80811398121.

It is a super-3 number, since 3×121893118083 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12189311808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12189311807) 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 31 ways as a sum of consecutive naturals, for example, 63156960 + ... + 63157152.

It is an arithmetic number, because the mean of its divisors is an integer number (151671528).

Almost surely, 212189311808 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 12189311808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16987211136).

12189311808 is an abundant number, since it is smaller than the sum of its proper divisors (21785110464).

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

12189311808 is a wasteful number, since it uses less digits than its factorization.

12189311808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 42.

The spelling of 12189311808 in words is "twelve billion, one hundred eighty-nine million, three hundred eleven thousand, eight hundred eight".