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858120821200 = 24522145302053
BaseRepresentation
bin11000111110010111111…
…11001001100111010000
310001000221220201101001001
430133023333021213100
5103024412412234300
61454114255151344
7115666014426226
oct14371377114720
93030856641031
10858120821200
11300a21917a25
1211a386b15554
1362bc72b3136
142d767410b16
15174c5a9b16a
hexc7cbfc99d0

858120821200 has 30 divisors (see below), whose sum is σ = 2061635273894. Its totient is φ = 343248328320.

The previous prime is 858120821143. The next prime is 858120821209. The reversal of 858120821200 is 2128021858.

It can be written as a sum of positive squares in 3 ways, for example, as 279413731216 + 578707089984 = 528596^2 + 760728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 858120821200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (858120821209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1072650627 + ... + 1072651426.

Almost surely, 2858120821200 is an apocalyptic number.

858120821200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

858120821200 is an abundant number, since it is smaller than the sum of its proper divisors (1203514452694).

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

858120821200 is a wasteful number, since it uses less digits than its factorization.

858120821200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145302071 (or 2145302060 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 37.

The spelling of 858120821200 in words is "eight hundred fifty-eight billion, one hundred twenty million, eight hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2145302053 4290604106 8581208212 10726510265 17162416424 21453020530 34324832848 42906041060 53632551325 85812082120 107265102650 171624164240 214530205300 429060410600 858120821200