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12731368438503 = 33111337950917093
BaseRepresentation
bin1011100101000100000010…
…1100010111101011100111
31200002002212221211021122000
42321101000230113223213
53132042320310013003
643024413201540343
72452545115116351
oct271210054275347
950062787737560
1012731368438503
114069385639640
1215175116446b3
1371474189c730
143202b6d860d1
1517128ad101a3
hexb9440b17ae7

12731368438503 has 128 divisors (see below), whose sum is σ = 22262131584000. Its totient is φ = 7089280289280.

The previous prime is 12731368438487. The next prime is 12731368438609. The reversal of 12731368438503 is 30583486313721.

12731368438503 is a `hidden beast` number, since 1 + 2 + 7 + 31 + 3 + 68 + 43 + 8 + 503 = 666.

12731368438503 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 12731368438503 - 24 = 12731368438487 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12731368438503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12731368438903) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 744820825 + ... + 744837917.

It is an arithmetic number, because the mean of its divisors is an integer number (173922903000).

Almost surely, 212731368438503 is an apocalyptic number.

12731368438503 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12731368438503 is a deficient number, since it is larger than the sum of its proper divisors (9530763145497).

12731368438503 is a wasteful number, since it uses less digits than its factorization.

12731368438503 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18014 (or 18008 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 12731368438503 in words is "twelve trillion, seven hundred thirty-one billion, three hundred sixty-eight million, four hundred thirty-eight thousand, five hundred three".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 297 351 379 429 509 1137 1287 1527 3411 3861 4169 4581 4927 5599 6617 10233 12507 13743 14781 16797 17093 19851 37521 44343 50391 51279 54197 59553 72787 112563 133029 151173 153837 162591 178659 188023 192911 218361 222209 461511 487773 564069 578733 655083 666627 1463319 1692207 1736199 1965249 1999881 2122021 2444299 2507843 5076621 5208597 5999643 6366063 6478247 7332897 7523529 8700337 19098189 19434741 21998691 22570587 26101011 27586273 57294567 58304223 65996073 67711761 71260717 78303033 82758819 84217211 95703707 113104381 174912669 213782151 234909099 248276457 252651633 287111121 339313143 641346453 744829371 757954899 861333363 926389321 1017939429 1244148191 1924039359 2273864697 2584000089 2779167963 3053818287 3297427723 3732444573 8337503889 9892283169 11197333719 25012511667 29676849507 33592001157 36271704953 42866560399 89030548521 108815114859 128599681197 326445344577 385799043591 471532164389 979336033731 1157397130773 1414596493167 4243789479501 12731368438503