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18240354000 = 24325311175419
BaseRepresentation
bin10000111111001101…
…011011011011010000
31202002012102222201200
4100333031123123100
5244324012312000
612213550031200
71214004310431
oct207715333320
952065388650
1018240354000
117810227a30
1236507a8500
131948c7659b
14c50715488
1571b534500
hex43f35b6d0

18240354000 has 480 divisors, whose sum is σ = 73600824960. Its totient is φ = 4161024000.

The previous prime is 18240353981. The next prime is 18240354007. The reversal of 18240354000 is 45304281.

18240354000 is a `hidden beast` number, since 1 + 82 + 40 + 3 + 540 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18240354007) 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 95 ways as a sum of consecutive naturals, for example, 3363291 + ... + 3368709.

It is an arithmetic number, because the mean of its divisors is an integer number (153335052).

Almost surely, 218240354000 is an apocalyptic number.

18240354000 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 18240354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36800412480).

18240354000 is an abundant number, since it is smaller than the sum of its proper divisors (55360470960).

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

18240354000 is a wasteful number, since it uses less digits than its factorization.

18240354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5476 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 18240354000 its reverse (45304281), we get a palindrome (18285658281).

The spelling of 18240354000 in words is "eighteen billion, two hundred forty million, three hundred fifty-four thousand".