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542043644505 = 351117231366683
BaseRepresentation
bin1111110001101000101…
…00011010001001011001
31220211002221202010222020
413320310110122021121
532340101133111010
61053002244245053
754106226646366
oct7706424321131
91824087663866
10542043644505
11199974562940
12890753a0789
133c16471902c
141c340dab46d
15e176c4e470
hex7e3451a259

542043644505 has 96 divisors (see below), whose sum is σ = 1037463441408. Its totient is φ = 239370009600.

The previous prime is 542043644491. The next prime is 542043644507. The reversal of 542043644505 is 505446340245.

It is a happy number.

It is not a de Polignac number, because 542043644505 - 24 = 542043644489 is a prime.

It is a super-2 number, since 2×5420436445052 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (542043644507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1294894 + ... + 1661576.

It is an arithmetic number, because the mean of its divisors is an integer number (10806910848).

Almost surely, 2542043644505 is an apocalyptic number.

542043644505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542043644505 is a deficient number, since it is larger than the sum of its proper divisors (495419796903).

542043644505 is a wasteful number, since it uses less digits than its factorization.

542043644505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366767 (or 366750 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 542043644505 in words is "five hundred forty-two billion, forty-three million, six hundred forty-four thousand, five hundred five".

Divisors: 1 3 5 11 15 17 31 33 51 55 85 93 155 165 187 255 289 341 465 527 561 867 935 1023 1445 1581 1705 2635 2805 3179 4335 5115 5797 7905 8959 9537 15895 17391 26877 28985 44795 47685 86955 98549 134385 295647 366683 492745 1100049 1478235 1833415 4033513 5500245 6233611 11367173 12100539 18700833 20167565 31168055 34101519 56835865 60502695 68569721 93504165 105971387 125038903 170507595 193241941 205709163 317914161 342848605 375116709 529856935 579725823 625194515 966209705 1028545815 1165685257 1589570805 1875583545 2125661351 2898629115 3285112997 3497055771 5828426285 6376984053 9855338991 10628306755 16425564985 17485278855 31884920265 36136242967 49276694955 108408728901 180681214835 542043644505