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516675813216 = 25323376324371
BaseRepresentation
bin1111000010011000100…
…01110011111101100000
31211101122000200210111020
413201030101303331200
531431123002010331
61033205123445440
752220464643523
oct7411421637540
91741560623436
10516675813216
1118a137032812
1284175826880
1339950c25384
141b015c34bba
15d68eb1ec96
hex784c473f60

516675813216 has 96 divisors (see below), whose sum is σ = 1453492470528. Its totient is φ = 160284833280.

The previous prime is 516675813191. The next prime is 516675813217. The reversal of 516675813216 is 612318576615.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516675813217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3080490 + ... + 3243881.

It is an arithmetic number, because the mean of its divisors is an integer number (15140546568).

Almost surely, 2516675813216 is an apocalyptic number.

It is an amenable number.

516675813216 is an abundant number, since it is smaller than the sum of its proper divisors (936816657312).

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

516675813216 is a wasteful number, since it uses less digits than its factorization.

516675813216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6324444 (or 6324436 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The spelling of 516675813216 in words is "five hundred sixteen billion, six hundred seventy-five million, eight hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 37 46 48 69 74 92 96 111 138 148 184 222 276 296 368 444 552 592 736 851 888 1104 1184 1702 1776 2208 2553 3404 3552 5106 6808 10212 13616 20424 27232 40848 81696 6324371 12648742 18973113 25297484 37946226 50594968 75892452 101189936 145460533 151784904 202379872 234001727 290921066 303569808 436381599 468003454 581842132 607139616 702005181 872763198 936006908 1163684264 1404010362 1745526396 1872013816 2327368528 2808020724 3491052792 3744027632 4654737056 5382039721 5616041448 6982105584 7488055264 10764079442 11232082896 13964211168 16146119163 21528158884 22464165792 32292238326 43056317768 64584476652 86112635536 129168953304 172225271072 258337906608 516675813216