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189902304885384 = 23327133753142910343
BaseRepresentation
bin101011001011011100010011…
…011011001011101010001000
3220220101111001010210202211200
4223023130103123023222020
5144342324410022313014
61511515525311024200
754666663101111160
oct5313342333135210
9826344033722750
10189902304885384
115556612a401793
121937040980b060
1381c6930cb9940
1434c746ba155a0
1516e4bdc44aa09
hexacb7136cba88

189902304885384 has 768 divisors, whose sum is σ = 662909953305600. Its totient is φ = 47772978978816.

The previous prime is 189902304885341. The next prime is 189902304885389. The reversal of 189902304885384 is 483588403209981.

189902304885384 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 0 + 2 + 3 + 0 + 4 + 88 + 538 + 4 = 666.

189902304885384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (189902304885389) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18360461317 + ... + 18360471659.

It is an arithmetic number, because the mean of its divisors is an integer number (863164001700).

Almost surely, 2189902304885384 is an apocalyptic number.

189902304885384 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 189902304885384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331454976652800).

189902304885384 is an abundant number, since it is smaller than the sum of its proper divisors (473007648420216).

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

189902304885384 is a wasteful number, since it uses less digits than its factorization.

189902304885384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11894 (or 11887 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 189902304885384 in words is "one hundred eighty-nine trillion, nine hundred two billion, three hundred four million, eight hundred eighty-five thousand, three hundred eighty-four".