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63742455271680 = 283587831889969
BaseRepresentation
bin11100111111001001100100…
…11001110101000100000000
322100200201102022020110012220
432133210302121311010000
531323324022022143210
6343322514003051040
716266145315035363
oct1637446231650400
9270621368213186
1063742455271680
1119346029269469
12719586b370a80
132974b70499253
1411a521922c0da
1575814a6c8c70
hex39f932675100

63742455271680 has 144 divisors (see below), whose sum is σ = 203600752830720. Its totient is φ = 16996043751424.

The previous prime is 63742455271673. The next prime is 63742455271741. The reversal of 63742455271680 is 8617255424736.

It is a super-2 number, since 2×637424552716802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 32781736 + ... + 34671704.

It is an arithmetic number, because the mean of its divisors is an integer number (1413894116880).

Almost surely, 263742455271680 is an apocalyptic number.

63742455271680 is a gapful number since it is divisible by the number (60) 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 63742455271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101800376415360).

63742455271680 is an abundant number, since it is smaller than the sum of its proper divisors (139858297559040).

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

63742455271680 is a wasteful number, since it uses less digits than its factorization.

63742455271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898776 (or 1898762 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 60.

The spelling of 63742455271680 in words is "sixty-three trillion, seven hundred forty-two billion, four hundred fifty-five million, two hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 8783 17566 26349 35132 43915 52698 70264 87830 105396 131745 140528 175660 210792 263490 281056 351320 421584 526980 562112 702640 843168 1053960 1124224 1405280 1686336 1889969 2107920 2248448 2810560 3372672 3779938 4215840 5621120 5669907 6745344 7559876 8431680 9449845 11242240 11339814 15119752 16863360 18899690 22679628 28349535 30239504 33726720 37799380 45359256 56699070 60479008 75598760 90718512 113398140 120958016 151197520 181437024 226796280 241916032 302395040 362874048 453592560 483832064 604790080 725748096 907185120 1209580160 1451496192 1814370240 2419160320 3628740480 7257480960 16599597727 33199195454 49798793181 66398390908 82997988635 99597586362 132796781816 165995977270 199195172724 248993965905 265593563632 331991954540 398390345448 497987931810 531187127264 663983909080 796780690896 995975863620 1062374254528 1327967818160 1593561381792 1991951727240 2124748509056 2655935636320 3187122763584 3983903454480 4249497018112 5311871272640 6374245527168 7967806908960 10623742545280 12748491054336 15935613817920 21247485090560 31871227635840 63742455271680