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108006828000 = 253539000569
BaseRepresentation
bin110010010010110110…
…1010110011111100000
3101022210011220100101220
41210211231112133200
53232144221444000
6121341225055040
710542336614241
oct1444555263740
9338704810356
10108006828000
1141895047525
1218b23327480
13a2535a36a6
1453285c4cc8
152c221331a0
hex1925b567e0

108006828000 has 96 divisors (see below), whose sum is σ = 353830407840. Its totient is φ = 28801817600.

The previous prime is 108006827849. The next prime is 108006828023. The reversal of 108006828000 is 828600801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4488285 + ... + 4512284.

It is an arithmetic number, because the mean of its divisors is an integer number (3685733415).

Almost surely, 2108006828000 is an apocalyptic number.

108006828000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108006828000 is an abundant number, since it is smaller than the sum of its proper divisors (245823579840).

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

108006828000 is an equidigital number, since it uses as much as digits as its factorization.

108006828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9000597 (or 9000579 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 108006828000 in words is "one hundred eight billion, six million, eight hundred twenty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 9000569 18001138 27001707 36002276 45002845 54003414 72004552 90005690 108006828 135008535 144009104 180011380 216013656 225014225 270017070 288018208 360022760 432027312 450028450 540034140 675042675 720045520 864054624 900056900 1080068280 1125071125 1350085350 1440091040 1800113800 2160136560 2250142250 2700170700 3375213375 3600227600 4320273120 4500284500 5400341400 6750426750 7200455200 9000569000 10800682800 13500853500 18001138000 21601365600 27001707000 36002276000 54003414000 108006828000