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503064664014 = 231141827224797
BaseRepresentation
bin1110101001000001111…
…11011001011111001110
31210002111102220202221010
413110200333121133032
531220234023222024
61023034341350050
751226261043013
oct7244077313716
91702442822833
10503064664014
11184391984980
12815b7408326
1338592053133
141a4c425d70a
15d144bebb29
hex7520fd97ce

503064664014 has 64 divisors (see below), whose sum is σ = 1125730835712. Its totient is φ = 148545196800.

The previous prime is 503064663979. The next prime is 503064664043. The reversal of 503064664014 is 410466460305.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2125464 + ... + 2350260.

It is an arithmetic number, because the mean of its divisors is an integer number (17589544308).

Almost surely, 2503064664014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503064664014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562865417856).

503064664014 is an abundant number, since it is smaller than the sum of its proper divisors (622666171698).

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

503064664014 is a wasteful number, since it uses less digits than its factorization.

503064664014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225681.

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 503064664014 in words is "five hundred three billion, sixty-four million, six hundred sixty-four thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 827 902 1353 1654 2481 2706 4962 9097 18194 27291 33907 54582 67814 101721 203442 224797 372977 449594 674391 745954 1118931 1348782 2237862 2472767 4945534 7418301 9216677 14836602 18433354 27650031 55300062 101383447 185907119 202766894 304150341 371814238 557721357 608300682 1115442714 2044978309 4089956618 6134934927 7622191879 12269869854 15244383758 22866575637 45733151274 83844110669 167688221338 251532332007 503064664014