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18357678144 = 2632133117883
BaseRepresentation
bin10001000110001100…
…111111000001000000
31202101101012200012100
4101012030333001000
5300044031200034
612233340430400
71216630455351
oct210614770100
952341180170
1018357678144
117870481333
123683b48400
131967374560
14c62135d28
157269ac099
hex44633f040

18357678144 has 168 divisors, whose sum is σ = 56856002112. Its totient is φ = 5629639680.

The previous prime is 18357678083. The next prime is 18357678149. The reversal of 18357678144 is 44187675381.

It is not an unprimeable number, because it can be changed into a prime (18357678149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2324827 + ... + 2332709.

It is an arithmetic number, because the mean of its divisors is an integer number (338428584).

Almost surely, 218357678144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18357678144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28428001056).

18357678144 is an abundant number, since it is smaller than the sum of its proper divisors (38498323968).

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

18357678144 is a wasteful number, since it uses less digits than its factorization.

18357678144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8225 (or 8212 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 18357678144 in words is "eighteen billion, three hundred fifty-seven million, six hundred seventy-eight thousand, one hundred forty-four".