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13688441611449 = 31129199401317911
BaseRepresentation
bin1100011100110001011010…
…1100110010010010111001
31210110121021000211221200120
43013030112230302102321
53243232412023031244
645040214441323453
72611646225632203
oct307142654622271
953417230757616
1013688441611449
1143a8265483a60
121650ab3496589
13783a78611297
1435474a225773
1518b103b51819
hexc7316b324b9

13688441611449 has 64 divisors (see below), whose sum is σ = 20706845184000. Its totient is φ = 7967273529600.

The previous prime is 13688441611433. The next prime is 13688441611459. The reversal of 13688441611449 is 94411614488631.

13688441611449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13688441611449 - 24 = 13688441611433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13688441611392 and 13688441611401.

It is not an unprimeable number, because it can be changed into a prime (13688441611409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 764238804 + ... + 764256714.

It is an arithmetic number, because the mean of its divisors is an integer number (323544456000).

Almost surely, 213688441611449 is an apocalyptic number.

It is an amenable number.

13688441611449 is a deficient number, since it is larger than the sum of its proper divisors (7018403572551).

13688441611449 is a wasteful number, since it uses less digits than its factorization.

13688441611449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22166.

The product of its digits is 15925248, while the sum is 60.

The spelling of 13688441611449 in words is "thirteen trillion, six hundred eighty-eight billion, four hundred forty-one million, six hundred eleven thousand, four hundred forty-nine".

Divisors: 1 3 11 29 33 87 199 319 597 957 2189 4013 5771 6567 12039 17313 17911 44143 53733 63481 116377 132429 190443 197021 349131 519419 591063 798587 1280147 1558257 2395761 3564289 3840441 5713609 8784457 10692867 17140827 23159023 26353371 39207179 69477069 71876843 103364381 117621537 215630529 254749253 310093143 764247759 790645273 1137008191 2084428447 2371935819 3411024573 6253285341 14303491757 22928712917 42910475271 68786138751 157338409327 414801260953 472015227981 1244403782859 4562813870483 13688441611449