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13382719317 = 35115778677
BaseRepresentation
bin11000111011010110…
…00001011101010101
31021112122221120200000
430131223001131111
5204401434004232
610051542041513
7652431144252
oct143553013525
937478846600
1013382719317
115748218110
122715a19299
131353772836
1490d512429
15534d5027c
hex31dac1755

13382719317 has 48 divisors (see below), whose sum is σ = 21909381312. Its totient is φ = 8095749120.

The previous prime is 13382719297. The next prime is 13382719321. The reversal of 13382719317 is 71391728331.

It is not a de Polignac number, because 13382719317 - 214 = 13382702933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13382719517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1537983 + ... + 1546659.

It is an arithmetic number, because the mean of its divisors is an integer number (456445444).

Almost surely, 213382719317 is an apocalyptic number.

It is an amenable number.

13382719317 is a deficient number, since it is larger than the sum of its proper divisors (8526661995).

13382719317 is an equidigital number, since it uses as much as digits as its factorization.

13382719317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9280 (or 9268 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The spelling of 13382719317 in words is "thirteen billion, three hundred eighty-two million, seven hundred nineteen thousand, three hundred seventeen".

Divisors: 1 3 9 11 27 33 81 99 243 297 577 891 1731 2673 5193 6347 8677 15579 19041 26031 46737 57123 78093 95447 140211 171369 234279 286341 514107 702837 859023 1542321 2108511 2577069 5006629 7731207 15019887 23193621 45059661 55072919 135178983 165218757 405536949 495656271 1216610847 1486968813 4460906439 13382719317