Search a number
-
+
18801818201160 = 2334537491319427
BaseRepresentation
bin1000100011001101000111…
…01100011110110001001000
32110120102210001000120210000
410101212203230132301020
54431022110424414120
6103553234103523000
73650246403540561
oct421464354366110
973512701016700
1018801818201160
115a99896237435
122137b02a59460
13a650085bc807
144900273c7168
15229129aeb990
hex1119a3b1ec48

18801818201160 has 320 divisors, whose sum is σ = 65035361920320. Its totient is φ = 4868358888960.

The previous prime is 18801818201119. The next prime is 18801818201207. The reversal of 18801818201160 is 6110281810881.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58701367 + ... + 59020793.

It is an arithmetic number, because the mean of its divisors is an integer number (203235506001).

Almost surely, 218801818201160 is an apocalyptic number.

18801818201160 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 18801818201160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32517680960160).

18801818201160 is an abundant number, since it is smaller than the sum of its proper divisors (46233543719160).

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

18801818201160 is a wasteful number, since it uses less digits than its factorization.

18801818201160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319978 (or 319965 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 45.

The spelling of 18801818201160 in words is "eighteen trillion, eight hundred one billion, eight hundred eighteen million, two hundred one thousand, one hundred sixty".