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18118086000 = 2435373789131
BaseRepresentation
bin10000110111111011…
…000000110101110000
31201202200101010120020
4100313323000311300
5244101212223000
612153501243440
71210661122110
oct206773006560
951680333506
1018118086000
1177582071a3
123617863580
131929837261
14c3c3a9040
15710931ba0
hex437ec0d70

18118086000 has 640 divisors, whose sum is σ = 69861242880. Its totient is φ = 3953664000.

The previous prime is 18118085933. The next prime is 18118086029. The reversal of 18118086000 is 68081181.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138305935 + ... + 138306065.

It is an arithmetic number, because the mean of its divisors is an integer number (109158192).

Almost surely, 218118086000 is an apocalyptic number.

18118086000 is a gapful number since it is divisible by the number (10) 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 18118086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34930621440).

18118086000 is an abundant number, since it is smaller than the sum of its proper divisors (51743156880).

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

18118086000 is a wasteful number, since it uses less digits than its factorization.

18118086000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 33.

The spelling of 18118086000 in words is "eighteen billion, one hundred eighteen million, eighty-six thousand".