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18022063122882 = 23371359167449829
BaseRepresentation
bin1000001100100000101101…
…01010111010100111000010
32100210220002120021102111000
410012100112222322213002
54330233141124413012
6102155115502232430
73540023344664130
oct406202652724702
970726076242430
1018022063122882
115819128887005
122030968585716
13a0961c9a2b80
144643b5aa0750
15213bddd04ddc
hex106416aba9c2

18022063122882 has 512 divisors, whose sum is σ = 50599987200000. Its totient is φ = 4628597686272.

The previous prime is 18022063122851. The next prime is 18022063122887. The reversal of 18022063122882 is 28822136022081.

18022063122882 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 2 + 0 + 631 + 2 + 2 + 8 + 8 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (18022063122887) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 21739520844 + ... + 21739521672.

It is an arithmetic number, because the mean of its divisors is an integer number (98828100000).

Almost surely, 218022063122882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18022063122882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25299993600000).

18022063122882 is an abundant number, since it is smaller than the sum of its proper divisors (32577924077118).

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

18022063122882 is a wasteful number, since it uses less digits than its factorization.

18022063122882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 18022063122882 in words is "eighteen trillion, twenty-two billion, sixty-three million, one hundred twenty-two thousand, eight hundred eighty-two".