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20550434055120 = 2432544963568529
BaseRepresentation
bin1001010110000110001010…
…10100100110001111010000
32200202121021002020200012200
410223003011110212033100
510143144242104230440
6111412423350123200
74220501625213654
oct453030524461720
980677232220180
1020550434055120
116603432303622
12237a98a950500
13b60b890a7778
145109096bca64
1525986d4ecc30
hex12b0c55263d0

20550434055120 has 120 divisors (see below), whose sum is σ = 69168917493000. Its totient is φ = 5467910504448.

The previous prime is 20550434055103. The next prime is 20550434055121. The reversal of 20550434055120 is 2155043405502.

20550434055120 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 0 + 43 + 40 + 551 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 424551283776 + 20125882771344 = 651576^2 + 4486188^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20550434055121) 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 23 ways as a sum of consecutive naturals, for example, 31460985 + ... + 32107544.

It is an arithmetic number, because the mean of its divisors is an integer number (576407645775).

Almost surely, 220550434055120 is an apocalyptic number.

20550434055120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20550434055120 is an abundant number, since it is smaller than the sum of its proper divisors (48618483437880).

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

20550434055120 is a wasteful number, since it uses less digits than its factorization.

20550434055120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63568997 (or 63568988 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 20550434055120 in words is "twenty trillion, five hundred fifty billion, four hundred thirty-four million, fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 449 720 898 1347 1796 2245 2694 3592 4041 4490 5388 6735 7184 8082 8980 10776 13470 16164 17960 20205 21552 26940 32328 35920 40410 53880 64656 80820 107760 161640 323280 63568529 127137058 190705587 254274116 317842645 381411174 508548232 572116761 635685290 762822348 953527935 1017096464 1144233522 1271370580 1525644696 1907055870 2288467044 2542741160 2860583805 3051289392 3814111740 4576934088 5085482320 5721167610 7628223480 9153868176 11442335220 15256446960 22884670440 28542269521 45769340880 57084539042 85626808563 114169078084 142711347605 171253617126 228338156168 256880425689 285422695210 342507234252 428134042815 456676312336 513760851378 570845390420 685014468504 856268085630 1027521702756 1141690780840 1284402128445 1370028937008 1712536171260 2055043405512 2283381561680 2568804256890 3425072342520 4110086811024 5137608513780 6850144685040 10275217027560 20550434055120