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20218584344544 = 25321071559420851
BaseRepresentation
bin1001001100011100000011…
…00010011010011111100000
32122120212200220110201012100
410212032001202122133200
510122230130043011134
6111000142303130400
74154513240214255
oct446160142323740
978525626421170
1020218584344544
116495720846373
1223265b6ba3a00
13b387b190a291
144dc8285d942c
15250de9b3c999
hex12638189a7e0

20218584344544 has 144 divisors (see below), whose sum is σ = 58071313722240. Its totient is φ = 6672243436800.

The previous prime is 20218584344513. The next prime is 20218584344551. The reversal of 20218584344544 is 44544348581202.

20218584344544 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 8 + 58 + 4 + 3 + 44 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 47831719 + ... + 48252569.

It is an arithmetic number, because the mean of its divisors is an integer number (403273011960).

Almost surely, 220218584344544 is an apocalyptic number.

20218584344544 is a gapful number since it is divisible by the number (24) 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 20218584344544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29035656861120).

20218584344544 is an abundant number, since it is smaller than the sum of its proper divisors (37852729377696).

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

20218584344544 is a wasteful number, since it uses less digits than its factorization.

20218584344544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422533 (or 422522 counting only the distinct ones).

The product of its (nonzero) digits is 19660800, while the sum is 54.

The spelling of 20218584344544 in words is "twenty trillion, two hundred eighteen billion, five hundred eighty-four million, three hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1559 1712 1926 2568 3118 3424 3852 4677 5136 6236 7704 9354 10272 12472 14031 15408 18708 24944 28062 30816 37416 49888 56124 74832 112248 149664 166813 224496 333626 420851 448992 500439 667252 841702 1000878 1262553 1334504 1501317 1683404 2001756 2525106 2669008 3002634 3366808 3787659 4003512 5050212 5338016 6005268 6733616 7575318 8007024 10100424 12010536 13467232 15150636 16014048 20200848 24021072 30301272 40401696 45031057 48042144 60602544 90062114 121205088 135093171 180124228 270186342 360248456 405279513 540372684 656106709 720496912 810559026 1080745368 1312213418 1440993824 1621118052 1968320127 2161490736 2624426836 3242236104 3936640254 4322981472 5248853672 5904960381 6484472208 7873280508 10497707344 11809920762 12968944416 15746561016 20995414688 23619841524 31493122032 47239683048 62986244064 70203417863 94479366096 140406835726 188958732192 210610253589 280813671452 421220507178 561627342904 631830760767 842441014356 1123254685808 1263661521534 1684882028712 2246509371616 2527323043068 3369764057424 5054646086136 6739528114848 10109292172272 20218584344544