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20805380651520 = 29335301003771
BaseRepresentation
bin1001011101100001000010…
…10100101011101000000000
32201122222022202020122221000
410232300201110223220000
510211333404421322040
6112125505424332000
74245065504426403
oct456604124535000
981588282218830
1020805380651520
1166a156aa89973
12240027ba74000
13b7bc28c1787a
1451cdb304dd3a
152612e0720130
hex12ec2152ba00

20805380651520 has 160 divisors (see below), whose sum is σ = 73902446101440. Its totient is φ = 5548101488640.

The previous prime is 20805380651507. The next prime is 20805380651581. The reversal of 20805380651520 is 2515608350802.

20805380651520 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 53 + 80 + 6 + 515 + 2 + 0 = 666.

20805380651520 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150432766 + ... + 150571005.

It is an arithmetic number, because the mean of its divisors is an integer number (461890288134).

Almost surely, 220805380651520 is an apocalyptic number.

20805380651520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20805380651520 is an abundant number, since it is smaller than the sum of its proper divisors (53097065449920).

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

20805380651520 is an equidigital number, since it uses as much as digits as its factorization.

20805380651520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301003803 (or 301003781 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 20805380651520 in words is "twenty trillion, eight hundred five billion, three hundred eighty million, six hundred fifty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 34560 69120 301003771 602007542 903011313 1204015084 1505018855 1806022626 2408030168 2709033939 3010037710 3612045252 4515056565 4816060336 5418067878 6020075420 7224090504 8127101817 9030113130 9632120672 10836135756 12040150840 13545169695 14448181008 16254203634 18060226260 19264241344 21672271512 24080301680 27090339390 28896362016 32508407268 36120452520 38528482688 40635509085 43344543024 48160603360 54180678780 57792724032 65016814536 72240905040 77056965376 81271018170 86689086048 96321206720 108361357560 115585448064 130033629072 144481810080 154113930752 162542036340 173378172096 192642413440 216722715120 231170896128 260067258144 288963620160 325084072680 346756344192 385284826880 433445430240 462341792256 520134516288 577927240320 650168145360 693512688384 770569653760 866890860480 1040269032576 1155854480640 1300336290720 1387025376768 1733781720960 2080538065152 2311708961280 2600672581440 3467563441920 4161076130304 5201345162880 6935126883840 10402690325760 20805380651520