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14217659729 = 731361167313
BaseRepresentation
bin11010011110111000…
…00100010101010001
31100200212000221120222
431033130010111101
5213104210102404
610310445442425
71012220054000
oct151734042521
940625027528
1014217659729
116036553209
122909570415
13145773a310
1498c374c37
155832c9dbe
hex34f704551

14217659729 has 64 divisors (see below), whose sum is σ = 18315494400. Its totient is φ = 10963330560.

The previous prime is 14217659723. The next prime is 14217659747. The reversal of 14217659729 is 92795671241.

It is not a de Polignac number, because 14217659729 - 232 = 9922692433 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (14217659723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45423677 + ... + 45423989.

It is an arithmetic number, because the mean of its divisors is an integer number (286179600).

Almost surely, 214217659729 is an apocalyptic number.

It is an amenable number.

14217659729 is a deficient number, since it is larger than the sum of its proper divisors (4097834671).

14217659729 is a wasteful number, since it uses less digits than its factorization.

14217659729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 561 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 53.

The spelling of 14217659729 in words is "fourteen billion, two hundred seventeen million, six hundred fifty-nine thousand, seven hundred twenty-nine".

Divisors: 1 7 13 49 61 91 167 313 343 427 637 793 1169 2171 2191 2989 4069 4459 5551 8183 10187 15197 15337 19093 20923 28483 38857 52271 57281 71309 106379 107359 132431 133651 199381 248209 271999 365897 499163 679523 744653 927017 935557 1395667 1737463 2561279 3188531 3494141 4756661 6489119 6548899 12162241 17928953 22319717 33296627 41450903 45423833 85135687 156238019 233076389 290156321 1093666133 2031094247 14217659729