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13986068931 = 33293743103109
BaseRepresentation
bin11010000011010001…
…00111100111000011
31100002201020220202000
431001220213213003
5212120413201211
610231453555043
71003405424112
oct150150474703
940081226660
1013986068931
115a2785365a
122863aa5a83
13141b771c43
149696cbc79
1556ccd0656
hex341a279c3

13986068931 has 128 divisors (see below), whose sum is σ = 22953216000. Its totient is φ = 8394720768.

The previous prime is 13986068911. The next prime is 13986068933.

13986068931 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13986068931 - 26 = 13986068867 is a prime.

It is a super-2 number, since 2×139860689312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13986068933) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128312505 + ... + 128312613.

It is an arithmetic number, because the mean of its divisors is an integer number (179322000).

Almost surely, 213986068931 is an apocalyptic number.

13986068931 is a deficient number, since it is larger than the sum of its proper divisors (8967147069).

13986068931 is a wasteful number, since it uses less digits than its factorization.

13986068931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 13986068931 in words is "thirteen billion, nine hundred eighty-six million, sixty-eight thousand, nine hundred thirty-one".

Divisors: 1 3 9 27 29 37 43 87 103 109 111 129 261 309 327 333 387 783 927 981 999 1073 1161 1247 1591 2781 2943 2987 3161 3219 3741 3811 4033 4429 4687 4773 8961 9483 9657 11223 11227 11433 12099 13287 14061 14319 26883 28449 28971 33669 33681 34299 36297 39861 42183 42957 46139 80649 85347 101043 102897 108891 110519 116957 119583 126549 128441 135923 138417 163873 173419 303129 325583 331557 350871 385323 407769 415251 415399 482761 491619 520257 976749 994671 1052613 1155969 1223307 1245753 1246197 1448283 1474857 1560771 2930247 2984013 3157839 3467907 3669921 3738591 4344849 4424571 4682313 4752317 5029151 8790741 11215773 12046571 13034547 14000069 14256951 15087453 17862157 36139713 42000207 42770853 45262359 53586471 108419139 126000621 128312559 135787077 160759413 325257417 378001863 482278239 518002553 1554007659 4662022977 13986068931