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12841484469120 = 27325172926916811
BaseRepresentation
bin1011101011011110010000…
…0111101100001110000000
31200110122010010120020002100
42322313210013230032000
53140343330011002440
643151144014350400
72463523645666446
oct272674407541600
950418103506070
1012841484469120
11410105222a21a
1215349231bb400
13721c401338b8
14325761730b96
151740831c7230
hexbade41ec380

12841484469120 has 768 divisors, whose sum is σ = 48754161144000. Its totient is φ = 3100071690240.

The previous prime is 12841484469109. The next prime is 12841484469139. The reversal of 12841484469120 is 2196448414821.

It is a happy number.

12841484469120 is a `hidden beast` number, since 1 + 2 + 8 + 414 + 8 + 44 + 69 + 120 = 666.

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, 763865515 + ... + 763882325.

Almost surely, 212841484469120 is an apocalyptic number.

12841484469120 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 12841484469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24377080572000).

12841484469120 is an abundant number, since it is smaller than the sum of its proper divisors (35912676674880).

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

12841484469120 is a wasteful number, since it uses less digits than its factorization.

12841484469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17151 (or 17136 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 12841484469120 in words is "twelve trillion, eight hundred forty-one billion, four hundred eighty-four million, four hundred sixty-nine thousand, one hundred twenty".