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13745966169 = 3132315324377
BaseRepresentation
bin11001100110101001…
…01100110001011001
31022110222110102200010
430303110230301121
5211122431404134
610151555432133
7664431533055
oct146324546131
938428412603
1013745966169
11591426a921
1227b75b5649
1313b0ab63c0
1494586ac65
15556ba3ce9
hex33352cc59

13745966169 has 16 divisors (see below), whose sum is σ = 20595964032. Its totient is φ = 8091270528.

The previous prime is 13745966093. The next prime is 13745966173. The reversal of 13745966169 is 96166954731.

13745966169 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13745966169 - 28 = 13745965913 is a prime.

It is a super-2 number, since 2×137459661692 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13745966569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7661292 + ... + 7663085.

It is an arithmetic number, because the mean of its divisors is an integer number (1287247752).

Almost surely, 213745966169 is an apocalyptic number.

It is an amenable number.

13745966169 is a deficient number, since it is larger than the sum of its proper divisors (6849997863).

13745966169 is a wasteful number, since it uses less digits than its factorization.

13745966169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15324416.

The product of its digits is 7348320, while the sum is 57.

The spelling of 13745966169 in words is "thirteen billion, seven hundred forty-five million, nine hundred sixty-six thousand, one hundred sixty-nine".

Divisors: 1 3 13 23 39 69 299 897 15324377 45973131 199216901 352460671 597650703 1057382013 4581988723 13745966169