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520984004749 = 1329371572331021
BaseRepresentation
bin1111001010011010001…
…00010000100010001101
31211210202021022121020121
413211031010100202031
532013433401122444
61035200423144541
752432316654635
oct7451504204215
91753667277217
10520984004749
11190a4798588a
1284b785a5151
133a189652230
141b3040916c5
15d842e71084
hex794d11088d

520984004749 has 64 divisors (see below), whose sum is σ = 603054728640. Its totient is φ = 446534000640.

The previous prime is 520984004743. The next prime is 520984004753. The reversal of 520984004749 is 947400489025.

It can be written as a sum of positive squares in 32 ways, for example, as 352212575625 + 168771429124 = 593475^2 + 410818^2 .

It is not a de Polignac number, because 520984004749 - 29 = 520984004237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 520984004696 and 520984004705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520984004743) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 510267859 + ... + 510268879.

It is an arithmetic number, because the mean of its divisors is an integer number (9422730135).

Almost surely, 2520984004749 is an apocalyptic number.

It is an amenable number.

520984004749 is a deficient number, since it is larger than the sum of its proper divisors (82070723891).

520984004749 is a wasteful number, since it uses less digits than its factorization.

520984004749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490.

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 520984004749 in words is "five hundred twenty billion, nine hundred eighty-four million, four thousand, seven hundred forty-nine".

Divisors: 1 13 29 37 157 233 377 481 1021 1073 2041 3029 4553 5809 6757 8621 13273 13949 29609 36581 37777 59189 75517 87841 112073 160297 168461 237893 250009 384917 475553 491101 1060849 1095533 1353497 2083861 2189993 3092609 3250117 4648613 5930989 6898897 8802041 13791037 14241929 17595461 37349201 39251413 60431969 77102857 89685661 114426533 171998681 255259189 485539613 510268369 1083126829 1381920437 2235982853 3318369457 14080648777 17964965681 40075692673 520984004749