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12351728871 = 323001457319
BaseRepresentation
bin10111000000011100…
…00110110011100111
31011212210221211122200
423200032012303213
5200244020310441
65401352225543
7615041651226
oct134016066347
934783854580
1012351728871
115269257799
12248869b2b3
13121aca4911
14852618cbd
154c459b7b6
hex2e0386ce7

12351728871 has 12 divisors (see below), whose sum is σ = 17847370320. Its totient is φ = 8231724000.

The previous prime is 12351728869. The next prime is 12351728881. The reversal of 12351728871 is 17882715321.

12351728871 is a `hidden beast` number, since 12 + 351 + 7 + 288 + 7 + 1 = 666.

12351728871 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 12351728871 - 21 = 12351728869 is a prime.

It is a super-3 number, since 3×123517288713 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12351728861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201651 + ... + 255668.

It is an arithmetic number, because the mean of its divisors is an integer number (1487280860).

Almost surely, 212351728871 is an apocalyptic number.

12351728871 is a deficient number, since it is larger than the sum of its proper divisors (5495641449).

12351728871 is a wasteful number, since it uses less digits than its factorization.

12351728871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460326 (or 460323 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The spelling of 12351728871 in words is "twelve billion, three hundred fifty-one million, seven hundred twenty-eight thousand, eight hundred seventy-one".

Divisors: 1 3 9 3001 9003 27009 457319 1371957 4115871 1372414319 4117242957 12351728871