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14678226675 = 355271811907
BaseRepresentation
bin11011010101110001…
…11111011011110011
31101212221200011200000
431222320333123303
5220030111223200
610424301201043
71026511603530
oct155270773363
941787604600
1014678226675
116252526a52
122a17860183
1314cbc96938
149d35c3d87
155ad954300
hex36ae3f6f3

14678226675 has 144 divisors (see below), whose sum is σ = 31347493632. Its totient is φ = 6669475200.

The previous prime is 14678226671. The next prime is 14678226679. The reversal of 14678226675 is 57662287641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14678226671) and next prime (14678226679).

It is not a de Polignac number, because 14678226675 - 22 = 14678226671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14678226671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7696072 + ... + 7697978.

It is an arithmetic number, because the mean of its divisors is an integer number (217690928).

Almost surely, 214678226675 is an apocalyptic number.

14678226675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14678226675 is an abundant number, since it is smaller than the sum of its proper divisors (16669266957).

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

14678226675 is a wasteful number, since it uses less digits than its factorization.

14678226675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2103 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 14678226675 in words is "fourteen billion, six hundred seventy-eight million, two hundred twenty-six thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 181 189 225 243 315 405 525 543 567 675 905 945 1215 1267 1575 1629 1701 1907 2025 2715 2835 3801 4525 4725 4887 5721 6075 6335 8145 8505 9535 11403 13349 13575 14175 14661 17163 19005 24435 28605 31675 34209 40047 40725 42525 43983 47675 51489 57015 66745 73305 85815 95025 102627 120141 122175 143025 154467 171045 200235 219915 257445 285075 307881 333725 345167 360423 366525 429075 463401 513135 600705 772335 855225 1001175 1035501 1081269 1099575 1287225 1539405 1725835 1802115 2317005 2416169 2565675 3003525 3106503 3243807 3861675 5177505 5406345 7248507 7697025 8629175 9010575 9319509 11585025 12080845 15532515 16219035 21745521 25887525 27031725 27958527 36242535 46597545 60404225 65236563 77662575 81095175 83875581 108727605 139792635 181212675 195709689 232987725 326182815 419377905 543638025 587129067 698963175 978548445 1630914075 2096889525 2935645335 4892742225 14678226675