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14065086768 = 2432919515179
BaseRepresentation
bin11010001100101100…
…00011000100110000
31100022012221102211120
431012112003010300
5212301130234033
610243355342240
71005355156605
oct150626030460
940265842746
1014065086768
115a68413957
122886451980
131431c4a265
14975dba6ac
15574bdd1b3
hex346583130

14065086768 has 80 divisors (see below), whose sum is σ = 37614259200. Its totient is φ = 4523500800.

The previous prime is 14065086743. The next prime is 14065086781. The reversal of 14065086768 is 86768056041.

It is a self number, because there is not a number n which added to its sum of digits gives 14065086768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2713203 + ... + 2718381.

It is an arithmetic number, because the mean of its divisors is an integer number (470178240).

Almost surely, 214065086768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14065086768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18807129600).

14065086768 is an abundant number, since it is smaller than the sum of its proper divisors (23549172432).

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

14065086768 is a wasteful number, since it uses less digits than its factorization.

14065086768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170 (or 7164 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 14065086768 in words is "fourteen billion, sixty-five million, eighty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 1951 3902 5179 5853 7804 10358 11706 15537 15608 20716 23412 31074 31216 41432 46824 56579 62148 82864 93648 113158 124296 150191 169737 226316 248592 300382 339474 450573 452632 600764 678948 901146 905264 1201528 1357896 1802292 2403056 2715792 3604584 7209168 10104229 20208458 30312687 40416916 60625374 80833832 121250748 161667664 242501496 293022641 485002992 586045282 879067923 1172090564 1758135846 2344181128 3516271692 4688362256 7032543384 14065086768