Search a number
-
+
506352503266668 = 2236173646263123
BaseRepresentation
bin111001100100001100110000…
…1000101101001110101101100
32110101211211022120012112000000
41303020121201011221311230
51012332034411314013133
64552531043445104300
7211440522030666642
oct16310314105516554
92411754276175000
10506352503266668
111373809885698a3
124895a6109b8090
131896cab40c6386
148d0784033d192
153d815cd55d413
hex1cc8661169d6c

506352503266668 has 42 divisors (see below), whose sum is σ = 1328567559161724. Its totient is φ = 168784167754584.

The previous prime is 506352503266613. The next prime is 506352503266669. The reversal of 506352503266668 is 866662305253605.

It is a super-2 number, since 2×5063525032666682 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506352503266669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 86823128646 + ... + 86823134477.

It is an arithmetic number, because the mean of its divisors is an integer number (31632560932422).

Almost surely, 2506352503266668 is an apocalyptic number.

It is an amenable number.

506352503266668 is an abundant number, since it is smaller than the sum of its proper divisors (822215055895056).

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

506352503266668 is a wasteful number, since it uses less digits than its factorization.

506352503266668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173646263145 (or 173646263128 counting only the distinct ones).

The product of its (nonzero) digits is 279936000, while the sum is 63.

The spelling of 506352503266668 in words is "five hundred six trillion, three hundred fifty-two billion, five hundred three million, two hundred sixty-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 173646263123 347292526246 520938789369 694585052492 1041877578738 1562816368107 2083755157476 3125632736214 4688449104321 6251265472428 9376898208642 14065347312963 18753796417284 28130694625926 42196041938889 56261389251852 84392083877778 126588125816667 168784167755556 253176251633334 506352503266668