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12827243484 = 22331143293857
BaseRepresentation
bin10111111001001000…
…00011001111011100
31020002221201111002000
423330210003033130
5202232233242414
65520500202300
7632604525216
oct137444031734
936087644060
1012827243484
11549270a980
12259b999390
131295665b03
148998395b6
155011c9b09
hex2fc9033dc

12827243484 has 192 divisors, whose sum is σ = 37292935680. Its totient is φ = 3779274240.

The previous prime is 12827243449. The next prime is 12827243551. The reversal of 12827243484 is 48434272821.

12827243484 is a `hidden beast` number, since 1 + 282 + 7 + 24 + 348 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14967184 + ... + 14968040.

It is an arithmetic number, because the mean of its divisors is an integer number (194234040).

Almost surely, 212827243484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12827243484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18646467840).

12827243484 is an abundant number, since it is smaller than the sum of its proper divisors (24465692196).

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

12827243484 is a wasteful number, since it uses less digits than its factorization.

12827243484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1209 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The spelling of 12827243484 in words is "twelve billion, eight hundred twenty-seven million, two hundred forty-three thousand, four hundred eighty-four".