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27706488942 = 23112331358313
BaseRepresentation
bin11001110011011011…
…110111100001101110
32122111220122110200010
4121303123313201232
5423220330121232
620421142114050
72000410161456
oct316333674156
978456573603
1027706488942
1110828655250
125452a1b926
1327c7182672
1414ab9c8d66
15ac25da0cc
hex6736f786e

27706488942 has 64 divisors (see below), whose sum is σ = 63281419776. Its totient is φ = 8005071360.

The previous prime is 27706488941. The next prime is 27706489009. The reversal of 27706488942 is 24988460772.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27706488941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445978 + ... + 504290.

It is an arithmetic number, because the mean of its divisors is an integer number (988772184).

Almost surely, 227706488942 is an apocalyptic number.

27706488942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27706488942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31640709888).

27706488942 is an abundant number, since it is smaller than the sum of its proper divisors (35574930834).

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

27706488942 is a wasteful number, since it uses less digits than its factorization.

27706488942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58665.

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 27706488942 in words is "twenty-seven billion, seven hundred six million, four hundred eighty-eight thousand, nine hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 313 506 626 759 939 1518 1878 3443 6886 7199 10329 14398 20658 21597 43194 58313 79189 116626 158378 174939 237567 349878 475134 641443 1282886 1341199 1924329 2682398 3848658 4023597 8047194 14753189 18251969 29506378 36503938 44259567 54755907 88519134 109511814 200771659 401543318 419795287 602314977 839590574 1204629954 1259385861 2518771722 4617748157 9235496314 13853244471 27706488942