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486143161341684 = 2237112151131654471
BaseRepresentation
bin110111010001001010000011…
…0011100010001011011110100
32100202021211110202222100221020
41232202110012130101123310
51002204432143300413214
64441535030223021140
7204253453505644110
oct15642240634213364
92322254422870836
10486143161341684
1113099a17a940100
124663597513a7b0
1317b35146256612
148809651420740
153b30a750354a9
hex1ba25067116f4

486143161341684 has 144 divisors (see below), whose sum is σ = 1425891645093888. Its totient is φ = 126187379208000.

The previous prime is 486143161341683. The next prime is 486143161341697.

486143161341684 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×4861431613416844 (a number of 60 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486143161341683) 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 47 ways as a sum of consecutive naturals, for example, 469432 + ... + 31185039.

It is an arithmetic number, because the mean of its divisors is an integer number (9902025313152).

Almost surely, 2486143161341684 is an apocalyptic number.

486143161341684 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486143161341684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712945822546944).

486143161341684 is an abundant number, since it is smaller than the sum of its proper divisors (939748483752204).

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

486143161341684 is a wasteful number, since it uses less digits than its factorization.

486143161341684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31656018 (or 31656005 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 60.

The spelling of 486143161341684 in words is "four hundred eighty-six trillion, one hundred forty-three billion, one hundred sixty-one million, three hundred forty-one thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1511 1694 2541 3022 3388 4533 5082 6044 9066 10164 10577 16621 18132 21154 31731 33242 42308 49863 63462 66484 99726 116347 126924 182831 199452 232694 349041 365662 465388 548493 698082 731324 1096986 1279817 1396164 2193972 2559634 3839451 5119268 7678902 15357804 31654471 63308942 94963413 126617884 189926826 221581297 348199181 379853652 443162594 664743891 696398362 886325188 1044597543 1329487782 1392796724 2089195086 2437394267 2658975564 3830190991 4178390172 4874788534 7312182801 7660381982 9749577068 11490572973 14624365602 15320763964 22981145946 26811336937 29248731204 45962291892 47829905681 53622673874 80434010811 95659811362 107245347748 143489717043 160868021622 191319622724 286979434086 321736043244 334809339767 526128962491 573958868172 669618679534 1004428019301 1052257924982 1339237359068 1578386887473 2008856038602 2104515849964 3156773774946 3682902737437 4017712077204 5787418587401 6313547549892 7365805474874 11048708212311 11574837174802 14731610949748 17362255762203 22097416424622 23149674349604 34724511524406 40511930111807 44194832849244 69449023048812 81023860223614 121535790335421 162047720447228 243071580670842 486143161341684