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12163791645 = 3254124012
BaseRepresentation
bin10110101010000010…
…01011101100011101
31011101201022122020200
423111001023230131
5144402412313040
65331000134113
7610300344255
oct132501135435
934351278220
1012163791645
115182163775
122435767339
1311bb082065
14835696965
154b2d26630
hex2d504bb1d

12163791645 has 54 divisors (see below), whose sum is σ = 21664715982. Its totient is φ = 6313344000.

The previous prime is 12163791641. The next prime is 12163791677. The reversal of 12163791645 is 54619736121.

12163791645 is a `hidden beast` number, since 1 + 2 + 1 + 637 + 9 + 1 + 6 + 4 + 5 = 666.

12163791645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 1370036196 + 10793755449 = 37014^2 + 103893^2 .

It is not a de Polignac number, because 12163791645 - 22 = 12163791641 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12163791645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12163791641) 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 53 ways as a sum of consecutive naturals, for example, 30333445 + ... + 30333845.

Almost surely, 212163791645 is an apocalyptic number.

12163791645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12163791645 is a deficient number, since it is larger than the sum of its proper divisors (9500924337).

12163791645 is an frugal number, since it uses more digits than its factorization.

12163791645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 450 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

Multiplying 12163791645 by its sum of digits (45), we get a square (547370624025 = 7398452).

12163791645 divided by its sum of digits (45) gives a square (270306481 = 164412).

The spelling of 12163791645 in words is "twelve billion, one hundred sixty-three million, seven hundred ninety-one thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 401 615 1203 1681 1845 2005 3609 5043 6015 8405 15129 16441 18045 25215 49323 75645 82205 147969 160801 246615 482403 674081 739845 804005 1447209 2022243 2412015 3370405 6066729 6592841 7236045 10111215 19778523 30333645 32964205 59335569 98892615 270306481 296677845 810919443 1351532405 2432758329 4054597215 12163791645