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505240560065 = 51721569275581
BaseRepresentation
bin1110101101000101010…
…11110010000111000001
31210022010002020202011202
413112202223302013001
531234213040410230
61024034310350545
751334221621203
oct7264253620701
91708102222152
10505240560065
111852a914087a
1281b0405b455
133884aa953a7
141a64d224773
15d220c56a45
hex75a2af21c1

505240560065 has 16 divisors (see below), whose sum is σ = 641984803920. Its totient is φ = 380397404160.

The previous prime is 505240560061. The next prime is 505240560127. The reversal of 505240560065 is 560065042505.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 129519372544 + 375721187521 = 359888^2 + 612961^2 .

It is not a de Polignac number, because 505240560065 - 22 = 505240560061 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505240560061) 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 15 ways as a sum of consecutive naturals, for example, 1695575 + ... + 1971155.

It is an arithmetic number, because the mean of its divisors is an integer number (40124050245).

Almost surely, 2505240560065 is an apocalyptic number.

It is an amenable number.

505240560065 is a deficient number, since it is larger than the sum of its proper divisors (136744243855).

505240560065 is a wasteful number, since it uses less digits than its factorization.

505240560065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297172.

The product of its (nonzero) digits is 180000, while the sum is 38.

The spelling of 505240560065 in words is "five hundred five billion, two hundred forty million, five hundred sixty thousand, sixty-five".

Divisors: 1 5 17 85 21569 107845 275581 366673 1377905 1833365 4684877 23424385 5944006589 29720032945 101048112013 505240560065