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14106584105 = 517198998143
BaseRepresentation
bin11010010001101000…
…10110010000101001
31100102010000201110222
431020310112100221
5212342241142410
610251441015425
71006400662235
oct151064262051
940363021428
1014106584105
115a89887479
122898324575
13143a7194b3
1497b6dd5c5
15578688955
hex348d16429

14106584105 has 32 divisors (see below), whose sum is σ = 19079193600. Its totient is φ = 9949243392.

The previous prime is 14106584101. The next prime is 14106584113. The reversal of 14106584105 is 50148560141.

It is a cyclic number.

It is not a de Polignac number, because 14106584105 - 22 = 14106584101 is a prime.

It is a super-2 number, since 2×141065841052 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14106584101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94664 + ... + 192806.

It is an arithmetic number, because the mean of its divisors is an integer number (596224800).

Almost surely, 214106584105 is an apocalyptic number.

It is an amenable number.

14106584105 is a deficient number, since it is larger than the sum of its proper divisors (4972609495).

14106584105 is a wasteful number, since it uses less digits than its factorization.

14106584105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98273.

The product of its (nonzero) digits is 19200, while the sum is 35.

The spelling of 14106584105 in words is "fourteen billion, one hundred six million, five hundred eighty-four thousand, one hundred five".

Divisors: 1 5 17 19 85 89 95 323 445 1513 1615 1691 7565 8455 28747 98143 143735 490715 1668431 1864717 8342155 8734727 9323585 31700189 43673635 148490359 158500945 165959813 742451795 829799065 2821316821 14106584105