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505449765652 = 2213176131729569
BaseRepresentation
bin1110101101011110010…
…01110101101100010100
31210022122122220111021211
413112233021311230110
531240130120000102
61024111142351204
751342342056056
oct7265711655424
91708578814254
10505449765652
111853a6241057
1281b6212b504
1338882223790
141a66cd218d6
15d2342cd7d7
hex75af275b14

505449765652 has 96 divisors (see below), whose sum is σ = 1028415739680. Its totient is φ = 215273963520.

The previous prime is 505449765589. The next prime is 505449765661. The reversal of 505449765652 is 256567944505.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 356975180676 + 148474584976 = 597474^2 + 385324^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17079124 + ... + 17108692.

It is an arithmetic number, because the mean of its divisors is an integer number (10712663955).

Almost surely, 2505449765652 is an apocalyptic number.

505449765652 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

505449765652 is an abundant number, since it is smaller than the sum of its proper divisors (522965974028).

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

505449765652 is a wasteful number, since it uses less digits than its factorization.

505449765652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29981 (or 29979 counting only the distinct ones).

The product of its (nonzero) digits is 45360000, while the sum is 58.

The spelling of 505449765652 in words is "five hundred five billion, four hundred forty-nine million, seven hundred sixty-five thousand, six hundred fifty-two".

Divisors: 1 2 4 13 17 26 34 52 61 68 122 221 244 317 442 634 793 884 1037 1268 1586 2074 3172 4121 4148 5389 8242 10778 13481 16484 19337 21556 26962 29569 38674 53924 59138 70057 77348 118276 140114 251381 280228 328729 384397 502673 502762 657458 768794 1005346 1005524 1314916 1537588 1803709 2010692 3607418 4273477 6534749 7214836 8546954 9373373 13069498 17093908 18746746 23448217 26138996 30663053 37493492 46896434 61326106 93792868 121853849 122652212 159347341 243707698 318694682 398619689 487415396 571775753 637389364 797239378 1143551506 1594478756 2071515433 2287103012 4143030866 7433084789 8286061732 9720187801 14866169578 19440375602 29732339156 38880751204 126362441413 252724882826 505449765652