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18502089984 = 283774721
BaseRepresentation
bin10001001110110011…
…110111110100000000
31202202102221120000000
4101032303313310000
5300343013334414
612255540000000
71223333112210
oct211663676400
952672846000
1018502089984
117934a47064
123704390000
13198b267a51
14c773a8240
157344d5b09
hex44ecf7d00

18502089984 has 288 divisors, whose sum is σ = 63315598080. Its totient is φ = 5285191680.

The previous prime is 18502089959. The next prime is 18502089997. The reversal of 18502089984 is 48998020581.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 18502089984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3916744 + ... + 3921464.

Almost surely, 218502089984 is an apocalyptic number.

18502089984 is a gapful number since it is divisible by the number (14) 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 18502089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31657799040).

18502089984 is an abundant number, since it is smaller than the sum of its proper divisors (44813508096).

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

18502089984 is an frugal number, since it uses more digits than its factorization.

18502089984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 18502089984 in words is "eighteen billion, five hundred two million, eighty-nine thousand, nine hundred eighty-four".