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13976091045449 = 1329239155112383
BaseRepresentation
bin1100101101100000111111…
…1100010010111001001001
31211111002201211000012221022
43023120033330102321021
53312441013301423244
645420305543122225
72641511364525521
oct313301774227111
954432654005838
1013976091045449
1144a9255048215
1216987b0743375
137a4c2a784670
14364636d72681
1519383bde36ee
hexcb60ff12e49

13976091045449 has 16 divisors (see below), whose sum is σ = 15635328307200. Its totient is φ = 12404026963776.

The previous prime is 13976091045289. The next prime is 13976091045451. The reversal of 13976091045449 is 94454019067931.

It is a cyclic number.

It is not a de Polignac number, because 13976091045449 - 228 = 13975822609993 is a prime.

It is a super-3 number, since 3×139760910454493 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13976091045391 and 13976091045400.

It is not an unprimeable number, because it can be changed into a prime (13976091044449) 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 15 ways as a sum of consecutive naturals, for example, 77466089 + ... + 77646294.

It is an arithmetic number, because the mean of its divisors is an integer number (977208019200).

Almost surely, 213976091045449 is an apocalyptic number.

It is an amenable number.

13976091045449 is a deficient number, since it is larger than the sum of its proper divisors (1659237261751).

13976091045449 is a wasteful number, since it uses less digits than its factorization.

13976091045449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155112664.

The product of its (nonzero) digits is 29393280, while the sum is 62.

The spelling of 13976091045449 in words is "thirteen trillion, nine hundred seventy-six billion, ninety-one million, forty-five thousand, four hundred forty-nine".

Divisors: 1 13 29 239 377 3107 6931 90103 155112383 2016460979 4498259107 37071859537 58477368391 481934173981 1075083926573 13976091045449