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212857672860 = 2232572172113739
BaseRepresentation
bin1100011000111101001…
…1100101010010011100
3202100102102021010211100
43012033103211102130
511441413031012420
6241441354353100
721243545236500
oct3061723452234
9670372233740
10212857672860
11822aa675118
123530572b790
13170c307a521
14a43399c300
15580c160190
hex318f4e549c

212857672860 has 648 divisors, whose sum is σ = 806013739440. Its totient is φ = 45324582912.

The previous prime is 212857672831. The next prime is 212857672933. The reversal of 212857672860 is 68276758212.

212857672860 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 576 + 7 + 2 + 8 + 60 = 666.

212857672860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2128576728603 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212857672797 and 212857672806.

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 215 ways as a sum of consecutive naturals, for example, 288034371 + ... + 288035109.

Almost surely, 2212857672860 is an apocalyptic number.

212857672860 is a gapful number since it is divisible by the number (20) 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 212857672860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403006869720).

212857672860 is an abundant number, since it is smaller than the sum of its proper divisors (593156066580).

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

212857672860 is a wasteful number, since it uses less digits than its factorization.

212857672860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 212857672860 in words is "two hundred twelve billion, eight hundred fifty-seven million, six hundred seventy-two thousand, eight hundred sixty".