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80206028800 = 21352391631
BaseRepresentation
bin100101010110010100…
…1101110000000000000
321200000200210102101021
41022230221232000000
52303230220410200
6100502433315224
75536402665442
oct1125451560000
9250020712337
1080206028800
1131019237617
1213664a05b14
137742a20251
143c4c28a492
15214661941a
hex12aca6e000

80206028800 has 84 divisors (see below), whose sum is σ = 198899318736. Its totient is φ = 32082329600.

The previous prime is 80206028761. The next prime is 80206028867. The reversal of 80206028800 is 882060208.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8985 + ... + 400615.

Almost surely, 280206028800 is an apocalyptic number.

80206028800 is a gapful number since it is divisible by the number (80) 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 80206028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99449659368).

80206028800 is an abundant number, since it is smaller than the sum of its proper divisors (118693289936).

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

80206028800 is an equidigital number, since it uses as much as digits as its factorization.

80206028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391667 (or 391638 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 80206028800 in words is "eighty billion, two hundred six million, twenty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 4096 5120 6400 8192 10240 12800 20480 25600 40960 51200 102400 204800 391631 783262 1566524 1958155 3133048 3916310 6266096 7832620 9790775 12532192 15665240 19581550 25064384 31330480 39163100 50128768 62660960 78326200 100257536 125321920 156652400 200515072 250643840 313304800 401030144 501287680 626609600 802060288 1002575360 1253219200 1604120576 2005150720 2506438400 3208241152 4010301440 5012876800 8020602880 10025753600 16041205760 20051507200 40103014400 80206028800