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13793802746163 = 31121722311350591
BaseRepresentation
bin1100100010111001111010…
…1101100111100100110011
31210211200012211102011012020
43020232132231213210303
53301444202000334123
645200441400202523
72622366201536106
oct310563655474463
953750184364166
1013793802746163
114438a12056a00
1216693b8769443
13790999a3398b
143598a32b273d
1518dc1d87a7e3
hexc8b9eb67933

13793802746163 has 144 divisors (see below), whose sum is σ = 22607261042688. Its totient is φ = 7459280998400.

The previous prime is 13793802746159. The next prime is 13793802746173. The reversal of 13793802746163 is 36164720839731.

It is not a de Polignac number, because 13793802746163 - 22 = 13793802746159 is a prime.

It is a super-2 number, since 2×137938027461632 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13793802746097 and 13793802746106.

It is not an unprimeable number, because it can be changed into a prime (13793802746173) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 272627998 + ... + 272678588.

It is an arithmetic number, because the mean of its divisors is an integer number (156994868352).

Almost surely, 213793802746163 is an apocalyptic number.

13793802746163 is a deficient number, since it is larger than the sum of its proper divisors (8813458296525).

13793802746163 is a wasteful number, since it uses less digits than its factorization.

13793802746163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50786 (or 50758 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 60.

The spelling of 13793802746163 in words is "thirteen trillion, seven hundred ninety-three billion, eight hundred two million, seven hundred forty-six thousand, one hundred sixty-three".

Divisors: 1 3 11 17 23 33 51 69 113 121 187 253 289 339 363 391 561 759 867 1173 1243 1921 2057 2599 2783 3179 3729 4301 5763 6171 6647 7797 8349 9537 12903 13673 19941 21131 28589 32657 34969 41019 44183 47311 50591 63393 73117 85767 97971 104907 132549 141933 151773 219351 232441 314479 359227 486013 556501 697323 751111 804287 860047 943437 1077681 1163593 1458039 1669503 2253333 2412861 2580141 3490779 3951497 5346143 5716783 6121511 8262221 9460517 11854491 12799523 14620799 16038429 17150349 18364533 19781081 24786663 28381551 38398569 43862397 59343243 62884613 90884431 97185311 104065687 131486009 140794753 160828789 188653839 217591891 272653293 291555933 312197061 336278377 394458027 422384259 482486367 652775673 691730743 1008835131 1069038421 1446346099 1652150287 1769116679 2075192229 2235262153 2393510801 3207115263 3699062147 4339038297 4956450861 5307350037 6705786459 7180532403 11097186441 11759422631 15909807089 18173653157 24587883683 35278267893 37999456601 40689683617 47729421267 54520959471 73763651049 113998369803 122069050851 199910184727 270466720513 417994022611 599730554181 811400161539 1253982067833 4597934248721 13793802746163