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20909564121920 = 265294427350893
BaseRepresentation
bin1001100000100011000110…
…01001000101001101000000
32202000221020110211022200212
410300101203021011031000
510220040241403400140
6112245415433533252
74255444330342535
oct460214311051500
982027213738625
1020909564121920
116731772921221
1224184b6874228
13b889c0366386
14524057942d8c
15263d8bd71765
hex130463245340

20909564121920 has 112 divisors (see below), whose sum is σ = 51510002654160. Its totient is φ = 8075076796416.

The previous prime is 20909564121913. The next prime is 20909564121931. The reversal of 20909564121920 is 2912146590902.

It can be written as a sum of positive squares in 8 ways, for example, as 8616854960704 + 12292709161216 = 2935448^2 + 3506096^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410827994 + ... + 410878886.

Almost surely, 220909564121920 is an apocalyptic number.

20909564121920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20909564121920 is an abundant number, since it is smaller than the sum of its proper divisors (30600438532240).

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

20909564121920 is a wasteful number, since it uses less digits than its factorization.

20909564121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95212 (or 95202 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 50.

The spelling of 20909564121920 in words is "twenty trillion, nine hundred nine billion, five hundred sixty-four million, one hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 44273 50893 88546 101786 177092 203572 221365 254465 354184 407144 442730 508930 708368 814288 885460 1017860 1283917 1416736 1475897 1628576 1770920 2035720 2567834 2833472 2951794 3257152 3541840 4071440 5135668 5903588 6419585 7083680 7379485 8142880 10271336 11807176 12839170 14167360 14758970 16285760 20542672 23614352 25678340 29517940 41085344 47228704 51356680 59035880 82170688 94457408 102713360 118071760 205426720 236143520 410853440 472287040 2253185789 4506371578 9012743156 11265928945 18025486312 22531857890 36050972624 45063715780 65342387881 72101945248 90127431560 130684775762 144203890496 180254863120 261369551524 326711939405 360509726240 522739103048 653423878810 721019452480 1045478206096 1306847757620 2090956412192 2613695515240 4181912824384 5227391030480 10454782060960 20909564121920