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2081623279120 = 2457112179155083
BaseRepresentation
bin11110010010101010011…
…010101000011000010000
321101000000220110001021221
4132102222122220120100
5233101131024412440
64232141243054424
7303251364633610
oct36225232503020
97330026401257
102081623279120
117328a2089560
12297523511414
131213b0a92a78
1472a7305ca40
1539233c47d4a
hex1e4aa6a8610

2081623279120 has 160 divisors (see below), whose sum is σ = 6036812190720. Its totient is φ = 648515704320.

The previous prime is 2081623279097. The next prime is 2081623279121. The reversal of 2081623279120 is 219723261802.

It is not an unprimeable number, because it can be changed into a prime (2081623279121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13345099 + ... + 13500181.

It is an arithmetic number, because the mean of its divisors is an integer number (37730076192).

Almost surely, 22081623279120 is an apocalyptic number.

2081623279120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2081623279120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018406095360).

2081623279120 is an abundant number, since it is smaller than the sum of its proper divisors (3955188911600).

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

2081623279120 is a wasteful number, since it uses less digits than its factorization.

2081623279120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157293 (or 157287 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 2081623279120 in words is "two trillion, eighty-one billion, six hundred twenty-three million, two hundred seventy-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 2179 3080 4358 6160 8716 10895 15253 17432 21790 23969 30506 34864 43580 47938 61012 76265 87160 95876 119845 122024 152530 155083 167783 174320 191752 239690 244048 305060 310166 335566 383504 479380 610120 620332 671132 775415 838915 958760 1085581 1220240 1240664 1342264 1550830 1677830 1705913 1917520 2171162 2481328 2684528 3101660 3355660 3411826 4342324 5427905 6203320 6711320 6823652 8529565 8684648 10855810 11941391 12406640 13422640 13647304 17059130 17369296 21711620 23882782 27294608 34118260 43423240 47765564 59706955 68236520 86846480 95531128 119413910 136473040 191062256 238827820 337925857 477655640 675851714 955311280 1351703428 1689629285 2365480999 2703406856 3379258570 3717184427 4730961998 5406813712 6758517140 7434368854 9461923996 11827404995 13517034280 14868737708 18585922135 18923847992 23654809990 26020290989 27034068560 29737475416 37171844270 37847695984 47309619980 52040581978 59474950832 74343688540 94619239960 104081163956 130101454945 148687377080 189238479920 208162327912 260202909890 297374754160 416324655824 520405819780 1040811639560 2081623279120