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18023400000 = 263255171931
BaseRepresentation
bin10000110010010001…
…110100001001000000
31201112002012120210100
4100302101310021000
5243402442300000
612140240002400
71205431241454
oct206221641100
951462176710
1018023400000
117709815201
1235b0000400
131913034438
14c2d99c664
1570747ba00
hex432474240

18023400000 has 1008 divisors, whose sum is σ = 74290245120. Its totient is φ = 4147200000.

The previous prime is 18023399993. The next prime is 18023400007. The reversal of 18023400000 is 432081.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18023399993) and next prime (18023400007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (18023400007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 581399985 + ... + 581400015.

It is an arithmetic number, because the mean of its divisors is an integer number (73700640).

Almost surely, 218023400000 is an apocalyptic number.

18023400000 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 18023400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37145122560).

18023400000 is an abundant number, since it is smaller than the sum of its proper divisors (56266845120).

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

18023400000 is a wasteful number, since it uses less digits than its factorization.

18023400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 18023400000 its reverse (432081), we get a palindrome (18023832081).

The spelling of 18023400000 in words is "eighteen billion, twenty-three million, four hundred thousand".