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853055546112 = 28347114183157
BaseRepresentation
bin11000110100111100001…
…00101010001100000000
310000112212220111201220000
430122132010222030000
5102434024204433422
61451515512520000
7115426340334330
oct14323604521400
93015786451800
10853055546112
112a9862686870
121193b26b0000
136259aa7b543
142d4067db0c0
15172cb04dcac
hexc69e12a300

853055546112 has 1440 divisors, whose sum is σ = 3308744001024. Its totient is φ = 212203929600.

The previous prime is 853055546093. The next prime is 853055546183. The reversal of 853055546112 is 211645550358.

853055546112 is a `hidden beast` number, since 8 + 5 + 30 + 5 + 554 + 61 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5433474738 + ... + 5433474894.

Almost surely, 2853055546112 is an apocalyptic number.

853055546112 is a gapful number since it is divisible by the number (82) 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 853055546112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654372000512).

853055546112 is an abundant number, since it is smaller than the sum of its proper divisors (2455688454912).

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

853055546112 is a wasteful number, since it uses less digits than its factorization.

853055546112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 853055546112 in words is "eight hundred fifty-three billion, fifty-five million, five hundred forty-six thousand, one hundred twelve".