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13785429329 = 747142729363
BaseRepresentation
bin11001101011010110…
…01111010101010001
31022120201201100221122
430311223033111101
5211213032214304
610155525332025
7665421134030
oct146553172521
938521640848
1013785429329
115934574101
122808867015
1313b9022799
1494abc0717
1555a39b9be
hex335acf551

13785429329 has 16 divisors (see below), whose sum is σ = 16101808128. Its totient is φ = 11556178512.

The previous prime is 13785429323. The next prime is 13785429349. The reversal of 13785429329 is 92392458731.

It is a cyclic number.

It is not a de Polignac number, because 13785429329 - 212 = 13785425233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13785429323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454802 + ... + 484164.

It is an arithmetic number, because the mean of its divisors is an integer number (1006363008).

Almost surely, 213785429329 is an apocalyptic number.

It is an amenable number.

13785429329 is a deficient number, since it is larger than the sum of its proper divisors (2316378799).

13785429329 is a wasteful number, since it uses less digits than its factorization.

13785429329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30844.

The product of its digits is 3265920, while the sum is 53.

The spelling of 13785429329 in words is "thirteen billion, seven hundred eighty-five million, four hundred twenty-nine thousand, three hundred twenty-nine".

Divisors: 1 7 47 329 1427 9989 29363 67069 205541 469483 1380061 9660427 41901001 293307007 1969347047 13785429329