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13328408439 = 331922961773
BaseRepresentation
bin11000110100110111…
…10101111101110111
31021101212202022011000
430122123311331313
5204244033032224
610042322014343
7651201413433
oct143233657567
937355668130
1013328408439
11571a5a2595
1226bb7a73b3
131345438218
149062159c3
155301c30c9
hex31a6f5f77

13328408439 has 96 divisors (see below), whose sum is σ = 21940113600. Its totient is φ = 7984085760.

The previous prime is 13328408419. The next prime is 13328408507. The reversal of 13328408439 is 93480482331.

13328408439 is a `hidden beast` number, since 133 + 2 + 84 + 0 + 8 + 439 = 666.

It is not a de Polignac number, because 13328408439 - 25 = 13328408407 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13328408394 and 13328408403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13328408419) 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 95 ways as a sum of consecutive naturals, for example, 17242057 + ... + 17242829.

It is an arithmetic number, because the mean of its divisors is an integer number (228542850).

Almost surely, 213328408439 is an apocalyptic number.

13328408439 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

13328408439 is a deficient number, since it is larger than the sum of its proper divisors (8611705161).

13328408439 is a wasteful number, since it uses less digits than its factorization.

13328408439 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 13328408439 in words is "thirteen billion, three hundred twenty-eight million, four hundred eight thousand, four hundred thirty-nine".

Divisors: 1 3 9 19 27 29 57 61 87 171 183 261 361 513 549 551 773 783 1083 1159 1647 1653 1769 2319 3249 3477 4959 5307 6957 9747 10431 10469 14687 14877 15921 20871 22021 22417 31293 31407 33611 44061 47153 47763 66063 67251 94221 100833 132183 141459 198189 201753 279053 282663 302499 396549 424377 425923 594567 605259 638609 837159 895907 907497 1273131 1277769 1367437 1915827 2511477 2687721 3833307 4102311 5747481 7534431 8063163 8092537 11499921 12306933 17022233 17242443 24189489 24277611 25981303 36920799 51066699 72832833 77943909 153200097 218498499 233831727 459600291 493644757 701495181 1480934271 4442802813 13328408439