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13394873205 = 355710914449
BaseRepresentation
bin11000111100110010…
…11000101101110101
31021120111211001200000
430132121120231311
5204413041420310
610053054341513
7652636354320
oct143631305565
937514731600
1013394873205
11575406954a
122719aba899
13135613989c
14910d977b7
15535e514c0
hex31e658b75

13394873205 has 96 divisors (see below), whose sum is σ = 27771744000. Its totient is φ = 6066772992.

The previous prime is 13394873201. The next prime is 13394873209. The reversal of 13394873205 is 50237849331.

13394873205 is a `hidden beast` number, since 1 + 339 + 48 + 73 + 205 = 666.

It is an interprime number because it is at equal distance from previous prime (13394873201) and next prime (13394873209).

It is not a de Polignac number, because 13394873205 - 22 = 13394873201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13394873201) 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 95 ways as a sum of consecutive naturals, for example, 919821 + ... + 934269.

It is an arithmetic number, because the mean of its divisors is an integer number (289289000).

Almost surely, 213394873205 is an apocalyptic number.

13394873205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13394873205 is an abundant number, since it is smaller than the sum of its proper divisors (14376870795).

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

13394873205 is a wasteful number, since it uses less digits than its factorization.

13394873205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14585 (or 14573 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13394873205 in words is "thirteen billion, three hundred ninety-four million, eight hundred seventy-three thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 109 135 189 243 315 327 405 545 567 763 945 981 1215 1635 1701 2289 2835 2943 3815 4905 6867 8505 8829 11445 14449 14715 20601 26487 34335 43347 44145 61803 72245 101143 103005 130041 132435 185409 216735 303429 309015 390123 505715 650205 910287 927045 1170369 1517145 1574941 1950615 2730861 3511107 4551435 4724823 5851845 7874705 8192583 11024587 13654305 14174469 17555535 23624115 24577749 33073761 40962915 42523407 55122935 70872345 99221283 122888745 127570221 165368805 212617035 297663849 382710663 496106415 637851105 892991547 1488319245 1913553315 2678974641 4464957735 13394873205