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520424240553 = 327891011098431
BaseRepresentation
bin1111001001010111011…
…00111011010110101001
31211202022021000122010100
413210223230323112221
532011312101144203
61035025105340013
752412412025230
oct7445354732651
91752267018110
10520424240553
1119078aa09748
1284a41037609
133a0ca6a3609
141b28d9bdb17
15d80dc4eea3
hex792bb3b5a9

520424240553 has 96 divisors (see below), whose sum is σ = 885521894400. Its totient is φ = 288427392000.

The previous prime is 520424240527. The next prime is 520424240561. The reversal of 520424240553 is 355042424025.

520424240553 is a `hidden beast` number, since 5 + 2 + 0 + 4 + 242 + 405 + 5 + 3 = 666.

It is not a de Polignac number, because 520424240553 - 25 = 520424240521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (520424240563) 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 95 ways as a sum of consecutive naturals, for example, 61723248 + ... + 61731678.

It is an arithmetic number, because the mean of its divisors is an integer number (9224186400).

Almost surely, 2520424240553 is an apocalyptic number.

It is an amenable number.

520424240553 is a deficient number, since it is larger than the sum of its proper divisors (365097653847).

520424240553 is a wasteful number, since it uses less digits than its factorization.

520424240553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8743 (or 8740 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 520424240553 its reverse (355042424025), we get a palindrome (875466664578).

The spelling of 520424240553 in words is "five hundred twenty billion, four hundred twenty-four million, two hundred forty thousand, five hundred fifty-three".

Divisors: 1 3 7 9 21 63 89 101 109 267 303 327 623 707 763 801 909 981 1869 2121 2289 5607 6363 6867 8431 8989 9701 11009 25293 26967 29103 33027 59017 62923 67907 75879 77063 80901 87309 99081 177051 188769 203721 231189 531153 566307 611163 693567 750359 851531 918979 979801 2251077 2554593 2756937 2939403 5252513 5960717 6432853 6753231 6858607 7663779 8270811 8818209 15757539 17882151 19298559 20575821 47272617 53646453 57895677 61727463 75786259 81789131 92816879 227358777 245367393 278450637 530503813 572523917 649718153 682076331 736102179 835351911 1591511439 1717571751 1949154459 4774534317 5152715253 5847463377 8260702231 24782106693 57824915617 74346320079 173474746851 520424240553