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18349878729 = 3721319267397
BaseRepresentation
bin10001000101101111…
…001110110111001001
31202100211112102102010
4101011233032313021
5300040032104404
612232501330133
71216504252500
oct210557166711
952324472363
1018349878729
117867034536
123681406949
131965873510
14c610a5837
15725e6b189
hex445bcedc9

18349878729 has 144 divisors (see below), whose sum is σ = 32913937728. Its totient is φ = 9010020096.

The previous prime is 18349878719. The next prime is 18349878733. The reversal of 18349878729 is 92787894381.

It is not a de Polignac number, because 18349878729 - 27 = 18349878601 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 18349878729.

It is not an unprimeable number, because it can be changed into a prime (18349878719) 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 143 ways as a sum of consecutive naturals, for example, 46221159 + ... + 46221555.

It is an arithmetic number, because the mean of its divisors is an integer number (228569012).

Almost surely, 218349878729 is an apocalyptic number.

18349878729 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

18349878729 is a deficient number, since it is larger than the sum of its proper divisors (14564058999).

18349878729 is a wasteful number, since it uses less digits than its factorization.

18349878729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 506 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 66.

The spelling of 18349878729 in words is "eighteen billion, three hundred forty-nine million, eight hundred seventy-eight thousand, seven hundred twenty-nine".

Divisors: 1 3 7 13 19 21 39 49 57 67 91 133 147 201 247 273 361 397 399 469 637 741 871 931 1083 1191 1273 1407 1729 1911 2527 2613 2779 2793 3283 3819 4693 5161 5187 6097 7543 7581 8337 8911 9849 12103 14079 15483 16549 17689 18291 19453 22629 24187 26599 26733 32851 36127 36309 42679 49647 52801 53067 58359 62377 72561 79797 98059 98553 108381 115843 128037 143317 158403 169309 186193 187131 229957 252889 294177 314431 345787 347529 369607 429951 505381 507927 558579 686413 689871 758667 810901 943293 1003219 1037361 1108821 1185163 1303351 1516143 1863121 2059239 2201017 2420509 2432703 3009657 3537667 3555489 3910053 4804891 5589363 6569953 6603051 7022533 7261527 9602239 10613001 13041847 14414673 15407119 16943563 19709859 21067599 24763669 28806717 39125541 45989671 46221357 50830689 67215673 74291007 91292929 124829107 137969013 201647019 273878787 321927697 374487321 470509711 873803749 965783091 1411529133 2621411247 6116626243 18349878729