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18144755018130 = 235131792516011723
BaseRepresentation
bin1000010000000101001111…
…01011010110100110010010
32101020121210011201111001110
410020002213223112212102
54334240424241040010
6102331330235314150
73551625641615466
oct410024753264622
971217704644043
1018144755018130
1158661691a1944
1220506a98ab956
13a18073796960
1446a2d472a4a6
15216ec028e120
hex1080a7ad6992

18144755018130 has 256 divisors, whose sum is σ = 47453399562240. Its totient is φ = 4413830400000.

The previous prime is 18144755018107. The next prime is 18144755018213. The reversal of 18144755018130 is 3181055744181.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 18144755018130.

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 127 ways as a sum of consecutive naturals, for example, 10530907449 + ... + 10530909171.

It is an arithmetic number, because the mean of its divisors is an integer number (185364842040).

Almost surely, 218144755018130 is an apocalyptic number.

18144755018130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18144755018130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23726699781120).

18144755018130 is an abundant number, since it is smaller than the sum of its proper divisors (29308644544110).

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

18144755018130 is a wasteful number, since it uses less digits than its factorization.

18144755018130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777.

The product of its (nonzero) digits is 537600, while the sum is 48.

The spelling of 18144755018130 in words is "eighteen trillion, one hundred forty-four billion, seven hundred fifty-five million, eighteen thousand, one hundred thirty".