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14103668565 = 34579751287
BaseRepresentation
bin11010010001010010…
…01110011101010101
31100101220112121010000
431020221032131111
5212341014343230
610251254321513
71006334130150
oct151051163525
940356477100
1014103668565
115a88175a38
122897359299
131439c3841c
1497b180c97
155782aeb60
hex348a4e755

14103668565 has 80 divisors (see below), whose sum is σ = 29192308992. Its totient is φ = 6380798976.

The previous prime is 14103668561. The next prime is 14103668573. The reversal of 14103668565 is 56586630141.

14103668565 is a `hidden beast` number, since 14 + 10 + 3 + 6 + 68 + 565 = 666.

14103668565 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 14103668565 - 22 = 14103668561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 14103668565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14103668561) 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 79 ways as a sum of consecutive naturals, for example, 249352 + ... + 300638.

Almost surely, 214103668565 is an apocalyptic number.

14103668565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14103668565 is an abundant number, since it is smaller than the sum of its proper divisors (15088640427).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14103668565 is an equidigital number, since it uses as much as digits as its factorization.

14103668565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51408 (or 51399 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 14103668565 in words is "fourteen billion, one hundred three million, six hundred sixty-eight thousand, five hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 97 105 135 189 291 315 405 485 567 679 873 945 1455 2037 2619 2835 3395 4365 6111 7857 10185 13095 18333 30555 39285 51287 54999 91665 153861 256435 274995 359009 461583 769305 1077027 1384749 1795045 2307915 3231081 4154247 4974839 5385135 6923745 9693243 14924517 16155405 20771235 24874195 29079729 34823873 44773551 48466215 74622585 104471619 134320653 145398645 174119365 223867755 313414857 402961959 522358095 671603265 940244571 1567074285 2014809795 2820733713 4701222855 14103668565