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13706345727 = 3217181494939
BaseRepresentation
bin11001100001111011…
…00011110011111111
31022101012220111122100
430300331203303333
5211032311030402
610144022320143
7663441005424
oct146075436377
938335814570
1013706345727
1158a3969458
1227a6289053
1313a5823559
149404b5d4b
1555347971c
hex330f63cff

13706345727 has 24 divisors (see below), whose sum is σ = 21078504720. Its totient is φ = 8552528640.

The previous prime is 13706345717. The next prime is 13706345747. The reversal of 13706345727 is 72754360731.

13706345727 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 634 + 5 + 7 + 2 + 7 = 666.

It is not a de Polignac number, because 13706345727 - 215 = 13706312959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13706345717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219777 + ... + 275162.

It is an arithmetic number, because the mean of its divisors is an integer number (878271030).

Almost surely, 213706345727 is an apocalyptic number.

13706345727 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13706345727 is a deficient number, since it is larger than the sum of its proper divisors (7372158993).

13706345727 is a wasteful number, since it uses less digits than its factorization.

13706345727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495143 (or 495140 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 13706345727 in words is "thirteen billion, seven hundred six million, three hundred forty-five thousand, seven hundred twenty-seven".

Divisors: 1 3 9 17 51 153 181 543 1629 3077 9231 27693 494939 1484817 4454451 8413963 25241889 75725667 89583959 268751877 806255631 1522927303 4568781909 13706345727