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516515660016 = 24351217210101
BaseRepresentation
bin1111000010000101011…
…10111000000011110000
31211101012212100011121020
413201002232320003300
531430311002110031
61033141203055440
752213511445546
oct7410256700360
91741185304536
10516515660016
1118a0646962a4
1284130071580
13399269acc75
141addc865d96
15d680a37096
hex7842bb80f0

516515660016 has 40 divisors (see below), whose sum is σ = 1334364525264. Its totient is φ = 172167705600.

The previous prime is 516515660009. The next prime is 516515660033. The reversal of 516515660016 is 610066515615.

It is a super-2 number, since 2×5165156600162 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 516515660016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2353366 + ... + 2563466.

Almost surely, 2516515660016 is an apocalyptic number.

It is an amenable number.

516515660016 is an abundant number, since it is smaller than the sum of its proper divisors (817848865248).

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

516515660016 is a wasteful number, since it uses less digits than its factorization.

516515660016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261329 (or 261323 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 516515660016 in words is "five hundred sixteen billion, five hundred fifteen million, six hundred sixty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 51217 102434 153651 204868 210101 307302 409736 420202 614604 630303 819472 840404 1229208 1260606 1680808 2458416 2521212 3361616 5042424 10084848 10760742917 21521485834 32282228751 43042971668 64564457502 86085943336 129128915004 172171886672 258257830008 516515660016