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481242462137055 = 3554743119552961
BaseRepresentation
bin110110101101011111111111…
…0000000011010101011011111
32100002221022220121211022100000
41231122333332000122223133
51001034134030301341210
64423303422435105343
7203236422560010663
oct15532777600325337
92302838817738300
10481242462137055
1112a37a866a02983
1245b8401aa42253
131786ac7ab80748
1486ba38bcca8a3
153a9834a486ac0
hex1b5affe01aadf

481242462137055 has 96 divisors (see below), whose sum is σ = 885503280549888. Its totient is φ = 250618891622400.

The previous prime is 481242462137051. The next prime is 481242462137137. The reversal of 481242462137055 is 550731264242184.

481242462137055 is a `hidden beast` number, since 4 + 8 + 1 + 2 + 4 + 2 + 4 + 621 + 3 + 7 + 0 + 5 + 5 = 666.

It is not a de Polignac number, because 481242462137055 - 22 = 481242462137051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 481242462136992 and 481242462137010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481242462137051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14835775 + ... + 34388735.

It is an arithmetic number, because the mean of its divisors is an integer number (9223992505728).

Almost surely, 2481242462137055 is an apocalyptic number.

481242462137055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

481242462137055 is a deficient number, since it is larger than the sum of its proper divisors (404260818412833).

481242462137055 is a wasteful number, since it uses less digits than its factorization.

481242462137055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19553459 (or 19553447 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 481242462137055 in words is "four hundred eighty-one trillion, two hundred forty-two billion, four hundred sixty-two million, one hundred thirty-seven thousand, fifty-five".

Divisors: 1 3 5 9 15 27 45 47 81 135 141 235 243 405 423 431 705 1215 1269 1293 2115 2155 3807 3879 6345 6465 11421 11637 19035 19395 20257 34911 57105 58185 60771 101285 104733 174555 182313 303855 523665 546939 911565 1640817 2734695 4922451 8204085 19552961 24612255 58658883 97764805 175976649 293294415 527929947 879883245 918989167 1583789841 2639649735 2756967501 4594945835 4751369523 7918949205 8270902503 8427326191 13784837505 23756847615 24812707509 25281978573 41354512515 42136630955 74438122527 75845935719 124063537545 126409892865 223314367581 227537807157 372190612635 379229678595 396084330977 682613421471 1116571837905 1137689035785 1188252992931 1980421654885 2047840264413 3413067107355 3564758978793 5941264964655 10239201322065 10694276936379 17823794893965 32082830809137 53471384681895 96248492427411 160414154045685 481242462137055