Search a number
-
+
12519985968001 = 295034051211873
BaseRepresentation
bin1011011000110000100101…
…0100001111001110000001
31122022220021100102012000001
42312030021110033032001
53120111412401434001
642343334022000001
72431352631554221
oct266141124171601
948286240365001
1012519985968001
113a97772757926
1214a2559b76001
136ca825341415
14313d832b4081
1516aa1844c001
hexb630950f381

12519985968001 has 16 divisors (see below), whose sum is σ = 12980723333760. Its totient is φ = 12061194969600.

The previous prime is 12519985967999. The next prime is 12519985968019. The reversal of 12519985968001 is 10086958991521.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12519985968001 - 21 = 12519985967999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12519985968101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58986001 + ... + 59197873.

It is an arithmetic number, because the mean of its divisors is an integer number (811295208360).

Almost surely, 212519985968001 is an apocalyptic number.

It is an amenable number.

12519985968001 is a deficient number, since it is larger than the sum of its proper divisors (460737365759).

12519985968001 is a wasteful number, since it uses less digits than its factorization.

12519985968001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216456.

The product of its (nonzero) digits is 13996800, while the sum is 64.

The spelling of 12519985968001 in words is "twelve trillion, five hundred nineteen billion, nine hundred eighty-five million, nine hundred sixty-eight thousand, one".

Divisors: 1 29 503 4051 14587 117479 211873 2037653 6144317 59091937 106572119 858297523 3090591451 24890628167 431723654069 12519985968001