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12814885217 = 1921932953
BaseRepresentation
bin10111110111101001…
…11010000101100001
31020002002110121201102
423323310322011201
5202221102311332
65515335244145
7632364504251
oct137364720541
936062417642
1012814885217
115486739a32
122597819655
131292c29a24
14897d3d961
15500088062
hex2fbd3a161

12814885217 has 18 divisors (see below), whose sum is σ = 13609556982. Its totient is φ = 12064840704.

The previous prime is 12814885207. The next prime is 12814885231. The reversal of 12814885217 is 71258841821.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 81793936 + 12733091281 = 9044^2 + 112841^2 .

It is not a de Polignac number, because 12814885217 - 24 = 12814885201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12814885207) 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 17 ways as a sum of consecutive naturals, for example, 13446413 + ... + 13447365.

It is an arithmetic number, because the mean of its divisors is an integer number (756086499).

Almost surely, 212814885217 is an apocalyptic number.

It is an amenable number.

12814885217 is a deficient number, since it is larger than the sum of its proper divisors (794671765).

12814885217 is an frugal number, since it uses more digits than its factorization.

12814885217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1165 counting only the distinct ones).

The product of its digits is 286720, while the sum is 47.

The spelling of 12814885217 in words is "twelve billion, eight hundred fourteen million, eight hundred eighty-five thousand, two hundred seventeen".

Divisors: 1 19 193 361 953 3667 18107 37249 69673 183929 344033 707731 3494651 13446889 35498297 66398369 674467643 12814885217