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505358075380064 = 25171948893002649
BaseRepresentation
bin111001011100111101101100…
…0100100010100000101100000
32110021022202112011200210010012
41302321323120210110011200
51012214241314244130224
64550450143404224052
7211305626133300314
oct16271733044240540
92407282464623105
10505358075380064
111370281799921a5
1248819944b3b028
13188ca0a636cc6a
148cb1665d61b44
153d657cb0ad80e
hex1cb9ed8914160

505358075380064 has 48 divisors (see below), whose sum is σ = 1108893300102000. Its totient is φ = 225298956201984.

The previous prime is 505358075380019. The next prime is 505358075380069. The reversal of 505358075380064 is 460083570853505.

It is a junction number, because it is equal to n+sod(n) for n = 505358075379985 and 505358075380012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505358075380069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24446490989 + ... + 24446511660.

It is an arithmetic number, because the mean of its divisors is an integer number (23101943752125).

Almost surely, 2505358075380064 is an apocalyptic number.

It is an amenable number.

505358075380064 is an abundant number, since it is smaller than the sum of its proper divisors (603535224721936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505358075380064 is a wasteful number, since it uses less digits than its factorization.

505358075380064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48893002695 (or 48893002687 counting only the distinct ones).

The product of its (nonzero) digits is 60480000, while the sum is 59.

The spelling of 505358075380064 in words is "five hundred five trillion, three hundred fifty-eight billion, seventy-five million, three hundred eighty thousand, sixty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2584 5168 10336 48893002649 97786005298 195572010596 391144021192 782288042384 831181045033 928967050331 1564576084768 1662362090066 1857934100662 3324724180132 3715868201324 6649448360264 7431736402648 13298896720528 14863472805296 15792439855627 26597793441056 29726945610592 31584879711254 63169759422508 126339518845016 252679037690032 505358075380064