Search a number
-
+
12171194208 = 2532292311621
BaseRepresentation
bin10110101010111010…
…11010111101100000
31011102020020201122200
423111131122331200
5144411311203313
65331422533200
7610420305135
oct132535327540
934366221580
1012171194208
11518635a398
122438137200
1311bc774584
1483666258c
154b37d9b73
hex2d575af60

12171194208 has 216 divisors, whose sum is σ = 37025666496. Its totient is φ = 3788467200.

The previous prime is 12171194201. The next prime is 12171194209. The reversal of 12171194208 is 80249117121.

12171194208 is a `hidden beast` number, since 1 + 217 + 1 + 19 + 420 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12171194201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7507638 + ... + 7509258.

Almost surely, 212171194208 is an apocalyptic number.

12171194208 is a gapful number since it is divisible by the number (18) 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 12171194208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18512833248).

12171194208 is an abundant number, since it is smaller than the sum of its proper divisors (24854472288).

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

12171194208 is a wasteful number, since it uses less digits than its factorization.

12171194208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 12171194208 in words is "twelve billion, one hundred seventy-one million, one hundred ninety-four thousand, two hundred eight".