Search a number
-
+
12181801824 = 253242297923
BaseRepresentation
bin10110101100001011…
…11000101101100000
31011102222012122120100
423112011320231200
5144422020124244
65332442142400
7610606415133
oct132605705540
934388178510
1012181801824
115191345015
12243b7b1a00
1311c1a1987a
14837c2421a
154b46d2b69
hex2d6178b60

12181801824 has 36 divisors (see below), whose sum is σ = 34641999756. Its totient is φ = 4060600512.

The previous prime is 12181801813. The next prime is 12181801829. The reversal of 12181801824 is 42810818121.

It is a tau number, because it is divible by the number of its divisors (36).

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 (12181801829) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21148674 + ... + 21149249.

It is an arithmetic number, because the mean of its divisors is an integer number (962277771).

Almost surely, 212181801824 is an apocalyptic number.

It is an amenable number.

12181801824 is an abundant number, since it is smaller than the sum of its proper divisors (22460197932).

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

12181801824 is a wasteful number, since it uses less digits than its factorization.

12181801824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42297939 (or 42297928 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The spelling of 12181801824 in words is "twelve billion, one hundred eighty-one million, eight hundred one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 42297923 84595846 126893769 169191692 253787538 338383384 380681307 507575076 676766768 761362614 1015150152 1353533536 1522725228 2030300304 3045450456 4060600608 6090900912 12181801824