Search a number
-
+
18021816002364 = 223293719123930661
BaseRepresentation
bin1000001100100000001111…
…11100001110011100111100
32100210212110100021101212020
410012100013330032130330
54330232134344033424
6102155035153440140
73540014254334136
oct406200774163474
970725410241766
1018021816002364
11581901133a779
1220308b9870050
13a095b072b005
14464390d34056
15213bc728e079
hex106407f0e73c

18021816002364 has 192 divisors, whose sum is σ = 45099926323200. Its totient is φ = 5590147046400.

The previous prime is 18021816002363. The next prime is 18021816002371. The reversal of 18021816002364 is 46320061812081.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18021816002363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 587761194 + ... + 587791854.

It is an arithmetic number, because the mean of its divisors is an integer number (234895449600).

Almost surely, 218021816002364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18021816002364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22549963161600).

18021816002364 is an abundant number, since it is smaller than the sum of its proper divisors (27078110320836).

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

18021816002364 is a wasteful number, since it uses less digits than its factorization.

18021816002364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31164 (or 31162 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 18021816002364 in words is "eighteen trillion, twenty-one billion, eight hundred sixteen million, two thousand, three hundred sixty-four".