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82413855324504 = 233211142373125719
BaseRepresentation
bin10010101111010001111000…
…100100100011100101011000
3101210210200120021111122200200
4102233101320210203211120
541300232033430341004
6451140222533302200
723234130106622454
oct2257217044434530
9353720507448620
1082413855324504
1124294579895730
1292b0435494960
1336ca79338a292
14164cbcd7bd664
1597db908b6239
hex4af478923958

82413855324504 has 96 divisors (see below), whose sum is σ = 243666599155200. Its totient is φ = 24956345039040.

The previous prime is 82413855324481. The next prime is 82413855324529. The reversal of 82413855324504 is 40542355831428.

82413855324504 is a `hidden beast` number, since 8 + 2 + 4 + 1 + 3 + 85 + 53 + 2 + 4 + 504 = 666.

It is a super-2 number, since 2×824138553245042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35435844 + ... + 37689875.

It is an arithmetic number, because the mean of its divisors is an integer number (2538193741200).

Almost surely, 282413855324504 is an apocalyptic number.

It is an amenable number.

82413855324504 is an abundant number, since it is smaller than the sum of its proper divisors (161252743830696).

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

82413855324504 is a wasteful number, since it uses less digits than its factorization.

82413855324504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73127165 (or 73127158 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 82413855324504 in words is "eighty-two trillion, four hundred thirteen billion, eight hundred fifty-five million, three hundred twenty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1423 2846 4269 5692 8538 11384 12807 15653 17076 25614 31306 34152 46959 51228 62612 93918 102456 125224 140877 187836 281754 375672 563508 1127016 73125719 146251438 219377157 292502876 438754314 585005752 658131471 804382909 877508628 1316262942 1608765818 1755017256 2413148727 2632525884 3217531636 4826297454 5265051768 6435063272 7239446181 9652594908 14478892362 19305189816 28957784724 57915569448 104057898137 208115796274 312173694411 416231592548 624347388822 832463185096 936521083233 1144636879507 1248694777644 1873042166466 2289273759014 2497389555288 3433910638521 3746084332932 4578547518028 6867821277042 7492168665864 9157095036056 10301731915563 13735642554084 20603463831126 27471285108168 41206927662252 82413855324504