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18289124352 = 210334791381
BaseRepresentation
bin10001000010000111…
…011110010000000000
31202012121012210002000
4101002013132100000
5244424003434402
612222451224000
71215135664152
oct210207362000
952177183060
1018289124352
117835808904
123664ba8000
1319560c1095
14c56dacad2
15720969c1c
hex4421de400

18289124352 has 176 divisors, whose sum is σ = 54315916800. Its totient is φ = 6079242240.

The previous prime is 18289124351. The next prime is 18289124353. The reversal of 18289124352 is 25342198281.

18289124352 is a `hidden beast` number, since 1 + 8 + 289 + 12 + 4 + 352 = 666.

It is an interprime number because it is at equal distance from previous prime (18289124351) and next prime (18289124353).

It is a junction number, because it is equal to n+sod(n) for n = 18289124298 and 18289124307.

It is not an unprimeable number, because it can be changed into a prime (18289124351) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13242702 + ... + 13244082.

Almost surely, 218289124352 is an apocalyptic number.

18289124352 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 18289124352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27157958400).

18289124352 is an abundant number, since it is smaller than the sum of its proper divisors (36026792448).

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

18289124352 is a wasteful number, since it uses less digits than its factorization.

18289124352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1865 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 18289124352 in words is "eighteen billion, two hundred eighty-nine million, one hundred twenty-four thousand, three hundred fifty-two".