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12163828971 = 375343125357
BaseRepresentation
bin10110101010000010…
…10100110011101011
31011101201101112110010
423111001110303223
5144402420011341
65331001023003
7610300561140
oct132501246353
934351345403
1012163828971
115182189818
122435784a63
1311bb096048
148356a63c7
154b2d32716
hex2d5054ceb

12163828971 has 32 divisors (see below), whose sum is σ = 18929645568. Its totient is φ = 6803521920.

The previous prime is 12163828969. The next prime is 12163828973. The reversal of 12163828971 is 17982836121.

12163828971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12163828969) and next prime (12163828973).

It is not a de Polignac number, because 12163828971 - 21 = 12163828969 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 12163828971.

It is not an unprimeable number, because it can be changed into a prime (12163828973) 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 31 ways as a sum of consecutive naturals, for example, 467025 + ... + 492381.

It is an arithmetic number, because the mean of its divisors is an integer number (591551424).

Almost surely, 212163828971 is an apocalyptic number.

12163828971 is a deficient number, since it is larger than the sum of its proper divisors (6765816597).

12163828971 is a wasteful number, since it uses less digits than its factorization.

12163828971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25851.

The product of its digits is 290304, while the sum is 48.

The spelling of 12163828971 in words is "twelve billion, one hundred sixty-three million, eight hundred twenty-eight thousand, nine hundred seventy-one".

Divisors: 1 3 7 21 53 159 371 431 1113 1293 3017 9051 22843 25357 68529 76071 159901 177499 479703 532497 1343921 4031763 9407447 10928867 28222341 32786601 76502069 229506207 579229951 1737689853 4054609657 12163828971