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12914500005 = 335113411753
BaseRepresentation
bin11000000011100001…
…11010000110100101
31020100000220120112000
430001300322012211
5202422103000010
65533254315513
7635014303341
oct140160720645
936300816460
1012914500005
115527998000
122605058b99
1312aa7670a4
148a7270621
15508bb37c0
hex301c3a1a5

12914500005 has 128 divisors (see below), whose sum is σ = 25883988480. Its totient is φ = 6105369600.

The previous prime is 12914499967. The next prime is 12914500019. The reversal of 12914500005 is 50000541921.

It is not a de Polignac number, because 12914500005 - 28 = 12914499749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7366209 + ... + 7367961.

It is an arithmetic number, because the mean of its divisors is an integer number (202218660).

Almost surely, 212914500005 is an apocalyptic number.

12914500005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12914500005 is an abundant number, since it is smaller than the sum of its proper divisors (12969488475).

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

12914500005 is a wasteful number, since it uses less digits than its factorization.

12914500005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 12914500005 in words is "twelve billion, nine hundred fourteen million, five hundred thousand, five".

Divisors: 1 3 5 9 11 15 27 33 41 45 55 99 121 123 135 165 205 297 363 369 451 495 605 615 1089 1107 1331 1353 1485 1753 1815 1845 2255 3267 3993 4059 4961 5259 5445 5535 6655 6765 8765 11979 12177 14883 15777 16335 19283 19965 20295 24805 26295 35937 44649 47331 54571 57849 59895 60885 71873 74415 78885 96415 133947 163713 173547 179685 212113 215619 223245 236655 272855 289245 359365 491139 520641 636339 646857 669735 790603 818565 867735 1060565 1078095 1473417 1909017 1940571 2333243 2371809 2455695 2603205 3181695 3234285 3953015 5727051 6999729 7115427 7367085 8696633 9545085 9702855 11666215 11859045 20999187 21346281 26089899 28635255 34998645 35577135 43483165 62997561 78269697 95662963 104995935 106731405 130449495 234809091 286988889 314987805 391348485 478314815 860966667 1174045455 1434944445 2582900001 4304833335 12914500005