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20261306773456 = 2471971269498523
BaseRepresentation
bin1001001101101011100111…
…11111100010111111010000
32122201221222022020222002021
410212311303333202333100
510123430124013222311
6111031525453101224
74160555032654510
oct446656377427720
978657868228067
1020261306773456
11650185450a561
12233293a787814
13b3c82c9ca108
1450091c597840
1525209a63a171
hex126d73fe2fd0

20261306773456 has 160 divisors (see below), whose sum is σ = 48068880537600. Its totient is φ = 8080363630080.

The previous prime is 20261306773439. The next prime is 20261306773471. The reversal of 20261306773456 is 65437760316202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40393411 + ... + 40891933.

It is an arithmetic number, because the mean of its divisors is an integer number (300430503360).

Almost surely, 220261306773456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20261306773456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24034440268800).

20261306773456 is an abundant number, since it is smaller than the sum of its proper divisors (27807573764144).

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

20261306773456 is a wasteful number, since it uses less digits than its factorization.

20261306773456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498897 (or 498891 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 52.

The spelling of 20261306773456 in words is "twenty trillion, two hundred sixty-one billion, three hundred six million, seven hundred seventy-three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 71 76 112 133 142 152 266 269 284 304 497 532 538 568 994 1064 1076 1136 1349 1883 1988 2128 2152 2698 3766 3976 4304 5111 5396 7532 7952 9443 10222 10792 15064 18886 19099 20444 21584 30128 35777 37772 38198 40888 71554 75544 76396 81776 133693 143108 151088 152792 267386 286216 305584 362881 498523 534772 572432 725762 997046 1069544 1451524 1994092 2139088 2540167 2903048 3489661 3988184 5080334 5806096 6979322 7976368 9471937 10160668 13958644 18943874 20321336 27917288 35395133 37887748 40642672 55834576 66303559 70790266 75775496 132607118 134102687 141580532 151550992 247765931 265214236 268205374 283161064 495531862 530428472 536410748 566322128 672507527 938718809 991063724 1060856944 1072821496 1345015054 1877437618 1982127448 2145642992 2547951053 2690030108 3754875236 3964254896 4707552689 5095902106 5380060216 7509750472 9415105378 9521290777 10191804212 10760120432 15019500944 17835657371 18830210756 19042581554 20383608424 35671314742 37660421512 38085163108 40767216848 66649035439 71342629484 75320843024 76170326216 133298070878 142685258968 152340652432 180904524763 266596141756 285370517936 361809049526 533192283512 723618099052 1066384567024 1266331673341 1447236198104 2532663346682 2894472396208 5065326693364 10130653386728 20261306773456