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80522820221400 = 23325273612806851
BaseRepresentation
bin10010010011110000101110…
…000110000111100111011000
3101120002220110210100002120200
4102103300232012013213120
541023241213434041100
6443131401204222200
722650403356512514
oct2223605606074730
9346086423302520
1080522820221400
1123725599875747
129045a4169a960
1335c1366a44c7b
1415c547a869144
159498b3bb8e00
hex493c2e1879d8

80522820221400 has 144 divisors (see below), whose sum is σ = 274126889105160. Its totient is φ = 21178604736000.

The previous prime is 80522820221399. The next prime is 80522820221423. The reversal of 80522820221400 is 412202822508.

It is a happy number.

80522820221400 is a `hidden beast` number, since 8 + 0 + 5 + 2 + 2 + 8 + 20 + 221 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 306272026 + ... + 306534825.

Almost surely, 280522820221400 is an apocalyptic number.

It is an amenable number.

80522820221400 is an abundant number, since it is smaller than the sum of its proper divisors (193604068883760).

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

80522820221400 is a wasteful number, since it uses less digits than its factorization.

80522820221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612806946 (or 612806934 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 80522820221400 in words is "eighty trillion, five hundred twenty-two billion, eight hundred twenty million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 73 75 90 100 120 146 150 180 200 219 225 292 300 360 365 438 450 584 600 657 730 876 900 1095 1314 1460 1752 1800 1825 2190 2628 2920 3285 3650 4380 5256 5475 6570 7300 8760 10950 13140 14600 16425 21900 26280 32850 43800 65700 131400 612806851 1225613702 1838420553 2451227404 3064034255 3676841106 4902454808 5515261659 6128068510 7353682212 9192102765 11030523318 12256137020 14707364424 15320171275 18384205530 22061046636 24512274040 27576308295 30640342550 36768411060 44122093272 44734900123 45960513825 55152616590 61280685100 73536822120 89469800246 91921027650 110305233180 122561370200 134204700369 137881541475 178939600492 183842055300 220610466360 223674500615 268409400738 275763082950 357879200984 367684110600 402614101107 447349001230 536818801476 551526165900 671023501845 805228202214 894698002460 1073637602952 1103052331800 1118372503075 1342047003690 1610456404428 1789396004920 2013070505535 2236745006150 2684094007380 3220912808856 3355117509225 4026141011070 4473490012300 5368188014760 6710235018450 8052282022140 8946980024600 10065352527675 13420470036900 16104564044280 20130705055350 26840940073800 40261410110700 80522820221400