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18074583120 = 24351122327061
BaseRepresentation
bin10000110101010101…
…000100000001010000
31201122122111221211110
4100311111010001100
5244004043124440
612145305013320
71206622264416
oct206525040120
951578457743
1018074583120
1177356a3900
123605184240
1319208151c9
14c366c32b6
1570bbdc080
hex435544050

18074583120 has 240 divisors, whose sum is σ = 64268136576. Its totient is φ = 4191052800.

The previous prime is 18074583091. The next prime is 18074583133. The reversal of 18074583120 is 2138547081.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 654390 + ... + 681450.

Almost surely, 218074583120 is an apocalyptic number.

18074583120 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 18074583120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32134068288).

18074583120 is an abundant number, since it is smaller than the sum of its proper divisors (46193553456).

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

18074583120 is a wasteful number, since it uses less digits than its factorization.

18074583120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27122 (or 27105 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 18074583120 in words is "eighteen billion, seventy-four million, five hundred eighty-three thousand, one hundred twenty".