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517105066670244 = 2232131497415606417
BaseRepresentation
bin111010110010011011110011…
…1110011110111100010100100
32111210220202120012020201211100
41311210313213303313202210
51020234222134031421434
65031442442123440100
7213630415415623323
oct16544674763674244
92453822505221740
10517105066670244
1113a847033263608
1249bb6514686030
131926ca4c559ba0
14919a0396da0ba
153ebb151ea0699
hex1d64de7cf78a4

517105066670244 has 72 divisors (see below), whose sum is σ = 1417122386479800. Its totient is φ = 158041403937792.

The previous prime is 517105066670197. The next prime is 517105066670287. The reversal of 517105066670244 is 442076660501715.

It can be written as a sum of positive squares in 4 ways, for example, as 11226788409600 + 505878278260644 = 3350640^2 + 22491738^2 .

It is a super-2 number, since 2×5171050666702442 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3707733477 + ... + 3707872940.

It is an arithmetic number, because the mean of its divisors is an integer number (19682255367775).

Almost surely, 2517105066670244 is an apocalyptic number.

It is an amenable number.

517105066670244 is an abundant number, since it is smaller than the sum of its proper divisors (900017319809556).

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

517105066670244 is a wasteful number, since it uses less digits than its factorization.

517105066670244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7415606589 (or 7415606584 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 517105066670244 in words is "five hundred seventeen trillion, one hundred five billion, sixty-six million, six hundred seventy thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 149 156 234 298 447 468 596 894 1341 1788 1937 2682 3874 5364 5811 7748 11622 17433 23244 34866 69732 7415606417 14831212834 22246819251 29662425668 44493638502 66740457753 88987277004 96402883421 133480915506 192805766842 266961831012 289208650263 385611533684 578417300526 867625950789 1104925356133 1156834601052 1735251901578 2209850712266 3314776068399 3470503803156 4419701424532 6629552136798 9944328205197 13259104273596 14364029629729 19888656410394 28728059259458 39777312820788 43092088889187 57456118518916 86184177778374 129276266667561 172368355556748 258552533335122 517105066670244