Search a number
-
+
503064140624 = 241731311191837
BaseRepresentation
bin1110101001000001111…
…01011001101101010000
31210002111101221011222022
413110200331121231100
531220233404444444
61023034322231012
751226253433053
oct7244075315520
91702441834868
10503064140624
11184391657721
12815b71b5468
1338591bcbb36
141a4c4164a9a
15d144b469ee
hex7520f59b50

503064140624 has 80 divisors (see below), whose sum is σ = 1068743310336. Its totient is φ = 228361574400.

The previous prime is 503064140609. The next prime is 503064140639. The reversal of 503064140624 is 426041460305.

It is an interprime number because it is at equal distance from previous prime (503064140609) and next prime (503064140639).

It is a congruent number.

It is an unprimeable number.

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, 2526434 + ... + 2718270.

Almost surely, 2503064140624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503064140624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534371655168).

503064140624 is an abundant number, since it is smaller than the sum of its proper divisors (565679169712).

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

503064140624 is a wasteful number, since it uses less digits than its factorization.

503064140624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192204 (or 192198 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 503064140624 in words is "five hundred three billion, sixty-four million, one hundred forty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 311 496 527 622 1054 1244 2108 2488 4216 4976 5287 8432 9641 10574 19282 21148 38564 42296 77128 84592 154256 163897 191837 327794 383674 655588 767348 1311176 1534696 2622352 3069392 3261229 5946947 6522458 11893894 13044916 23787788 26089832 47575576 52179664 59661307 95151152 101098099 119322614 202196198 238645228 404392396 477290456 808784792 954580912 1014242219 1617569584 1849500517 2028484438 3699001034 4056968876 7398002068 8113937752 14796004136 16227875504 29592008272 31441508789 62883017578 125766035156 251532070312 503064140624