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189017468640 = 2532572112132131
BaseRepresentation
bin1011000000001001010…
…0011010111011100000
3200001212221201021201200
42300002110122323200
511044101432444030
6222500004201200
716441012655100
oct2600224327340
9601787637650
10189017468640
1173186484900
1230771699200
1314a93bcca00
14921167b200
154db41d5d60
hex2c0251aee0

189017468640 has 1944 divisors, whose sum is σ = 899884289304. Its totient is φ = 35978342400.

The previous prime is 189017468639. The next prime is 189017468671. The reversal of 189017468640 is 46864710981.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1442881375 + ... + 1442881505.

It is an arithmetic number, because the mean of its divisors is an integer number (462903441).

Almost surely, 2189017468640 is an apocalyptic number.

189017468640 is a gapful number since it is divisible by the number (10) 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 189017468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449942144652).

189017468640 is an abundant number, since it is smaller than the sum of its proper divisors (710866820664).

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

189017468640 is a wasteful number, since it uses less digits than its factorization.

189017468640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 189017468640 in words is "one hundred eighty-nine billion, seventeen million, four hundred sixty-eight thousand, six hundred forty".