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13788999904293 = 331723747760563
BaseRepresentation
bin1100100010101000000001…
…1100001110110000100101
31210211012211010000111202000
43020222000130032300211
53301404332433414133
645154325030435513
72622136162211505
oct310520034166045
953735733014660
1013788999904293
114436977a707a9
121668498202b99
137903b29a5a03
14359569493a05
1518da3bdbb413
hexc8a8070ec25

13788999904293 has 48 divisors (see below), whose sum is σ = 22286989584960. Its totient is φ = 8418085615872.

The previous prime is 13788999904283. The next prime is 13788999904319. The reversal of 13788999904293 is 39240999988731.

13788999904293 is a `hidden beast` number, since 13 + 7 + 8 + 8 + 9 + 99 + 90 + 429 + 3 = 666.

It is not a de Polignac number, because 13788999904293 - 241 = 11589976648741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13788999904283) 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 47 ways as a sum of consecutive naturals, for example, 23591571 + ... + 24168992.

It is an arithmetic number, because the mean of its divisors is an integer number (464312283020).

Almost surely, 213788999904293 is an apocalyptic number.

It is an amenable number.

13788999904293 is a deficient number, since it is larger than the sum of its proper divisors (8497989680667).

13788999904293 is a wasteful number, since it uses less digits than its factorization.

13788999904293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47760643 (or 47760620 counting only the distinct ones).

The product of its (nonzero) digits is 1904684544, while the sum is 81.

The spelling of 13788999904293 in words is "thirteen trillion, seven hundred eighty-eight billion, nine hundred ninety-nine million, nine hundred four thousand, two hundred ninety-three".

Divisors: 1 3 9 17 27 37 51 111 153 289 333 459 629 867 999 1887 2601 5661 7803 10693 16983 32079 96237 288711 47760563 143281689 429845067 811929571 1289535201 1767140831 2435788713 5301422493 7307366139 13802802707 15904267479 21922098417 30041394127 41408408121 47712802437 90124182381 124225224363 270372547143 372675673089 510703700159 811117641429 1532111100477 4596333301431 13788999904293