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12066898738048 = 2772111131798647
BaseRepresentation
bin1010111110011000101100…
…1101100111101110000000
31120201120202220212010001021
42233212023031213232000
53040201002034104143
641355242354115224
72353542666630100
oct257461315475600
946646686763037
1012066898738048
1139325a7832970
12142a78bb7bb14
13696b9948999b
142da08078d200
1515dd4b138ced
hexaf98b367b80

12066898738048 has 384 divisors, whose sum is σ = 30952042963200. Its totient is φ = 4633215713280.

The previous prime is 12066898738033. The next prime is 12066898738091. The reversal of 12066898738048 is 84083789866021.

It is a super-3 number, since 3×120668987380483 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1395496861 + ... + 1395505507.

It is an arithmetic number, because the mean of its divisors is an integer number (80604278550).

Almost surely, 212066898738048 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 12066898738048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15476021481600).

12066898738048 is an abundant number, since it is smaller than the sum of its proper divisors (18885144225152).

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

12066898738048 is a wasteful number, since it uses less digits than its factorization.

12066898738048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8978 (or 8959 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 70.

The spelling of 12066898738048 in words is "twelve trillion, sixty-six billion, eight hundred ninety-eight million, seven hundred thirty-eight thousand, forty-eight".