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18040787856 = 243472132412
BaseRepresentation
bin10000110011010100…
…001001001110010000
31201120021220222110000
4100303110021032100
5243421420202411
612142100410000
71206032111100
oct206324111620
951507828400
1018040787856
117718610a33
1235b59a6900
131916811900
14c32007200
15708c63956
hex433509390

18040787856 has 675 divisors, whose sum is σ = 67415271363. Its totient is φ = 4641960960.

The previous prime is 18040787851. The next prime is 18040787873. The reversal of 18040787856 is 65878704081.

It is a happy number.

The square root of 18040787856 is 134316.

It is a perfect power (a square), and thus also a powerful number.

18040787856 is a `hidden beast` number, since 1 + 80 + 407 + 87 + 85 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12016544400 + 6024243456 = 109620^2 + 77616^2 .

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

It is not an unprimeable number, because it can be changed into a prime (18040787851) 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 134 ways as a sum of consecutive naturals, for example, 440019196 + ... + 440019236.

Almost surely, 218040787856 is an apocalyptic number.

18040787856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18040787856 is the 134316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18040787856

18040787856 is an abundant number, since it is smaller than the sum of its proper divisors (49374483507).

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

18040787856 is a wasteful number, since it uses less digits than its factorization.

18040787856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 18040787856 in words is "eighteen billion, forty million, seven hundred eighty-seven thousand, eight hundred fifty-six".