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84052000492800 = 283524377708359
BaseRepresentation
bin10011000111000111100001…
…101000011100110100000000
3102000121021220102122110101220
4103013013201220130310000
542004101444111232200
6454432542253355040
723463361633042644
oct2307074150346400
9360537812573356
1084052000492800
112486628705769a
129515a10a98a80
1337b90b9cb8102
1416a81d21aac24
159ab5babe74a0
hex4c71e1a1cd00

84052000492800 has 108 divisors (see below), whose sum is σ = 277389112523040. Its totient is φ = 22413866792960.

The previous prime is 84052000492769. The next prime is 84052000492829. The reversal of 84052000492800 is 829400025048.

84052000492800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 2188834980 + ... + 2188873379.

Almost surely, 284052000492800 is an apocalyptic number.

84052000492800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84052000492800 is an abundant number, since it is smaller than the sum of its proper divisors (193337112030240).

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

84052000492800 is a wasteful number, since it uses less digits than its factorization.

84052000492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377708388 (or 4377708369 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 84052000492800 in words is "eighty-four trillion, fifty-two billion, four hundred ninety-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 600 640 768 800 960 1200 1280 1600 1920 2400 3200 3840 4800 6400 9600 19200 4377708359 8755416718 13133125077 17510833436 21888541795 26266250154 35021666872 43777083590 52532500308 65665625385 70043333744 87554167180 105065000616 109442708975 131331250770 140086667488 175108334360 210130001232 218885417950 262662501540 280173334976 328328126925 350216668720 420260002464 437770835900 525325003080 560346669952 656656253850 700433337440 840520004928 875541671800 1050650006160 1120693339904 1313312507700 1400866674880 1681040009856 1751083343600 2101300012320 2626625015400 2801733349760 3362080019712 3502166687200 4202600024640 5253250030800 5603466699520 7004333374400 8405200049280 10506500061600 14008666748800 16810400098560 21013000123200 28017333497600 42026000246400 84052000492800