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12688352917 = 1731113213067
BaseRepresentation
bin10111101000100100…
…01110011010010101
31012202021101010000221
423310102032122111
5201441204243132
65455015234341
7626300135362
oct136422163225
935667333027
1012688352917
115421276389
1225613789b1
131272956746
14885203469
154e3de1e97
hex2f448e695

12688352917 has 16 divisors (see below), whose sum is σ = 13990897152. Its totient is φ = 11454428160.

The previous prime is 12688352881. The next prime is 12688352921. The reversal of 12688352917 is 71925388621.

It is a happy number.

12688352917 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12688352917 - 211 = 12688350869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12688352927) 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 15 ways as a sum of consecutive naturals, for example, 46983 + ... + 166084.

It is an arithmetic number, because the mean of its divisors is an integer number (874431072).

Almost surely, 212688352917 is an apocalyptic number.

12688352917 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12688352917 is a deficient number, since it is larger than the sum of its proper divisors (1302544235).

12688352917 is a wasteful number, since it uses less digits than its factorization.

12688352917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213228.

The product of its digits is 1451520, while the sum is 52.

The spelling of 12688352917 in words is "twelve billion, six hundred eighty-eight million, three hundred fifty-two thousand, nine hundred seventeen".

Divisors: 1 17 31 113 527 1921 3503 59551 213067 3622139 6605077 24076571 112286309 409301707 746373701 12688352917