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13071073247163 = 334733733199209
BaseRepresentation
bin1011111000110101100010…
…1011010111111110111011
31201021120201120100120111000
42332031120223113332323
53203124024222402123
643444433530540043
72516232244261461
oct276153053277673
951246646316430
1013071073247163
11418a4580a4298
121571317b97623
1373a79b577759
143329013b4831
1517a01e0e6b43
hexbe358ad7fbb

13071073247163 has 64 divisors (see below), whose sum is σ = 19843379712000. Its totient is φ = 8499850877952.

The previous prime is 13071073247161. The next prime is 13071073247179. The reversal of 13071073247163 is 36174237017031.

13071073247163 is a `hidden beast` number, since 1 + 307 + 1 + 0 + 7 + 324 + 7 + 16 + 3 = 666.

It is not a de Polignac number, because 13071073247163 - 21 = 13071073247161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13071073247161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1419375703 + ... + 1419384911.

It is an arithmetic number, because the mean of its divisors is an integer number (310052808000).

Almost surely, 213071073247163 is an apocalyptic number.

13071073247163 is a deficient number, since it is larger than the sum of its proper divisors (6772306464837).

13071073247163 is a wasteful number, since it uses less digits than its factorization.

13071073247163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12921 (or 12915 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 13071073247163 in words is "thirteen trillion, seventy-one billion, seventy-three million, two hundred forty-seven thousand, one hundred sixty-three".

Divisors: 1 3 9 27 47 141 337 423 1011 1269 3033 3319 9099 9209 9957 15839 27627 29871 47517 82881 89613 142551 155993 248643 427653 432823 467979 1118503 1298469 1403937 3103433 3355509 3895407 4211811 9310299 10066527 11686221 27930897 30199581 30564671 52569641 83792691 91694013 145861351 157708923 275082039 437584053 473126769 825246117 1312752159 1419380307 1436539537 3938256477 4309618611 10300294127 12928855833 30900882381 38786567499 92702647143 278107941429 484113823969 1452341471907 4357024415721 13071073247163