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12162193713 = 332347715869
BaseRepresentation
bin10110101001110110…
…00101100100110001
31011101121022110022000
423110323011210301
5144402010144323
65330502004213
7610250640465
oct132473054461
934347273260
1012162193713
11518127216a
122435116669
1311ba942937
1483539c4a5
154b2b0ce43
hex2d4ec5931

12162193713 has 64 divisors (see below), whose sum is σ = 19475251200. Its totient is φ = 7482404160.

The previous prime is 12162193691. The next prime is 12162193723. The reversal of 12162193713 is 31739126121.

12162193713 is a `hidden beast` number, since 1 + 21 + 621 + 9 + 3 + 7 + 1 + 3 = 666.

12162193713 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 12162193713 - 210 = 12162192689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12162193723) 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 63 ways as a sum of consecutive naturals, for example, 2069343 + ... + 2075211.

It is an arithmetic number, because the mean of its divisors is an integer number (304300800).

Almost surely, 212162193713 is an apocalyptic number.

It is an amenable number.

12162193713 is a deficient number, since it is larger than the sum of its proper divisors (7313057487).

12162193713 is a wasteful number, since it uses less digits than its factorization.

12162193713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019 (or 6013 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The spelling of 12162193713 in words is "twelve billion, one hundred sixty-two million, one hundred ninety-three thousand, seven hundred thirteen".

Divisors: 1 3 9 23 27 47 69 71 141 207 213 423 621 639 1081 1269 1633 1917 3243 3337 4899 5869 9729 10011 14697 17607 29187 30033 44091 52821 76751 90099 134987 158463 230253 275843 404961 416699 690759 827529 1214883 1250097 2072277 2482587 3644649 3750291 6344389 7447761 9584077 11250873 19033167 19584853 28752231 57099501 58754559 86256693 171298503 176263677 258770079 450451619 528791031 1351354857 4054064571 12162193713