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18884339712 = 211327329103
BaseRepresentation
bin10001100101100110…
…000010100000000000
31210202002012212001100
4101211212002200000
5302133342332322
612401512534400
71235654145000
oct214546024000
953662185040
1018884339712
118010798a27
1237b03b1400
131a1c502c14
14cb206c000
15757d3edac
hex465982800

18884339712 has 576 divisors, whose sum is σ = 66437280000. Its totient is φ = 5158895616.

The previous prime is 18884339711. The next prime is 18884339717. The reversal of 18884339712 is 21793348881.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2322432) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (18884339711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183343053 + ... + 183343155.

It is an arithmetic number, because the mean of its divisors is an integer number (115342500).

Almost surely, 218884339712 is an apocalyptic number.

18884339712 is a gapful number since it is divisible by the number (12) 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 18884339712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33218640000).

18884339712 is an abundant number, since it is smaller than the sum of its proper divisors (47552940288).

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

18884339712 is a wasteful number, since it uses less digits than its factorization.

18884339712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 144 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 18884339712 in words is "eighteen billion, eight hundred eighty-four million, three hundred thirty-nine thousand, seven hundred twelve".