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505052250505 = 511192293172767
BaseRepresentation
bin1110101100101110111…
…01011100000110001001
31210021121221220122000121
413112113131130012021
531233321334004010
61024003502303241
751326444203555
oct7262735340611
91707557818017
10505052250505
11185211913040
1281a70b87b21
133881aa7220a
141a632206865
15d20e45b3da
hex759775c189

505052250505 has 96 divisors (see below), whose sum is σ = 724389143040. Its totient is φ = 334798410240.

The previous prime is 505052250473. The next prime is 505052250517.

505052250505 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 505052250505 - 25 = 505052250473 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182525632 + ... + 182528398.

It is an arithmetic number, because the mean of its divisors is an integer number (7545720240).

Almost surely, 2505052250505 is an apocalyptic number.

505052250505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505052250505 is a deficient number, since it is larger than the sum of its proper divisors (219336892535).

505052250505 is a wasteful number, since it uses less digits than its factorization.

505052250505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 62500, while the sum is 34.

It can be divided in two parts, 505052 and 250505, that added together give a palindrome (755557).

The spelling of 505052250505 in words is "five hundred five billion, fifty-two million, two hundred fifty thousand, five hundred five".

Divisors: 1 5 11 19 29 55 95 145 209 317 319 361 551 1045 1585 1595 1805 2755 2767 3487 3971 6023 6061 9193 10469 13835 17435 19855 30115 30305 30437 45965 52345 52573 66253 80243 101123 114437 115159 152185 174667 262865 331265 401215 505615 572185 575795 578303 873335 877139 882673 998887 1258807 1524617 1921337 2891515 3318673 4385695 4413365 4994435 6294035 7623085 9606685 9648529 10987757 16593365 16665641 16770787 25437031 28967723 36505403 48242645 54938785 83328205 83853935 127185155 144838615 182527015 183322051 279807341 316647179 318644953 483303589 916610255 1399036705 1583235895 1593224765 2416517945 3483118969 5316339479 9182768191 17415594845 26581697395 45913840955 101010450101 505052250505