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13810007727 = 322968697703
BaseRepresentation
bin11001101110010001…
…11111111010101111
31022122102222002011200
430313020333322233
5211240330221402
610202204220543
7666140062125
oct146710777257
938572862150
1013810007727
11594743122a
122814b3a753
1313c1149b09
1495017b915
1555c60421c
hex33723feaf

13810007727 has 24 divisors (see below), whose sum is σ = 20641327200. Its totient is φ = 8886752448.

The previous prime is 13810007707. The next prime is 13810007759. The reversal of 13810007727 is 72770001831.

It is a happy number.

It is not a de Polignac number, because 13810007727 - 26 = 13810007663 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13810007691 and 13810007700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13810007707) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1788958 + ... + 1796660.

It is an arithmetic number, because the mean of its divisors is an integer number (860055300).

Almost surely, 213810007727 is an apocalyptic number.

13810007727 is a deficient number, since it is larger than the sum of its proper divisors (6831319473).

13810007727 is a wasteful number, since it uses less digits than its factorization.

13810007727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14607 (or 14604 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 13810007727 in words is "thirteen billion, eight hundred ten million, seven thousand, seven hundred twenty-seven".

Divisors: 1 3 9 29 87 261 6869 7703 20607 23109 61821 69327 199201 223387 597603 670161 1792809 2010483 52911907 158735721 476207163 1534445303 4603335909 13810007727