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18441083934 = 232713232916879
BaseRepresentation
bin10001001011001011…
…001001110000011110
31202121012011010102200
4101023023021300132
5300231404141214
612245520232330
71221662425050
oct211313116036
952535133380
1018441083934
117903569339
1236a7a6b6a6
13197b727bb0
14c6d2478d0
1572de84d09
hex44b2c9c1e

18441083934 has 192 divisors, whose sum is σ = 53086924800. Its totient is φ = 4491438336.

The previous prime is 18441083917. The next prime is 18441083981. The reversal of 18441083934 is 43938014481.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 18441083934.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1084107 + ... + 1100985.

It is an arithmetic number, because the mean of its divisors is an integer number (276494400).

Almost surely, 218441083934 is an apocalyptic number.

18441083934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18441083934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26543462400).

18441083934 is an abundant number, since it is smaller than the sum of its proper divisors (34645840866).

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

18441083934 is a wasteful number, since it uses less digits than its factorization.

18441083934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16959 (or 16956 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 18441083934 in words is "eighteen billion, four hundred forty-one million, eighty-three thousand, nine hundred thirty-four".