Search a number
-
+
18163818330912 = 25371151225493
BaseRepresentation
bin1000010000101000101111…
…11100000111101100100000
32101022102222201201010000000
410020110113330013230200
54340043444443042122
6102344202024300000
73553202231244042
oct410242774075440
971272881633000
1018163818330912
115873260a109a1
12205432a011600
13a19ac10a11a7
1446b1c2465a92
15217738b830ac
hex108517f07b20

18163818330912 has 192 divisors, whose sum is σ = 53678684344320. Its totient is φ = 6049318982400.

The previous prime is 18163818330893. The next prime is 18163818330947. The reversal of 18163818330912 is 21903381836181.

18163818330912 is a `hidden beast` number, since 18 + 163 + 81 + 83 + 309 + 12 = 666.

It is a super-3 number, since 3×181638183309123 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 80438838 + ... + 80664330.

It is an arithmetic number, because the mean of its divisors is an integer number (279576480960).

Almost surely, 218163818330912 is an apocalyptic number.

18163818330912 is a gapful number since it is divisible by the number (12) 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 18163818330912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26839342172160).

18163818330912 is an abundant number, since it is smaller than the sum of its proper divisors (35514866013408).

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

18163818330912 is an equidigital number, since it uses as much as digits as its factorization.

18163818330912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226675 (or 226649 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 18163818330912 in words is "eighteen trillion, one hundred sixty-three billion, eight hundred eighteen million, three hundred thirty thousand, nine hundred twelve".