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18008718336 = 2103573211
BaseRepresentation
bin10000110001011001…
…110011110000000000
31201111001120200100000
4100301121303300000
5243340212441321
612134553200000
71205162403000
oct206131636000
951431520300
1018008718336
1177014a76a4
1235a7100000
13190cc9396b
14c2ba5a000
1570602b826
hex431673c00

18008718336 has 528 divisors, whose sum is σ = 63185158400. Its totient is φ = 5120962560.

The previous prime is 18008718331. The next prime is 18008718337. The reversal of 18008718336 is 63381780081.

It is a super-2 number, since 2×180087183362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18008718291 and 18008718300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18008718331) 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 47 ways as a sum of consecutive naturals, for example, 85349271 + ... + 85349481.

Almost surely, 218008718336 is an apocalyptic number.

18008718336 is a gapful number since it is divisible by the number (16) 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 18008718336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31592579200).

18008718336 is an abundant number, since it is smaller than the sum of its proper divisors (45176440064).

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

18008718336 is an frugal number, since it uses more digits than its factorization.

18008718336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 18008718336 in words is "eighteen billion, eight million, seven hundred eighteen thousand, three hundred thirty-six".