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212873510853 = 3242156181977
BaseRepresentation
bin1100011001000000111…
…1111111111111000101
3202100110112001210110200
43012100033333333011
511441431104321403
6241443122041113
721244126662423
oct3062017777705
9670415053420
10212873510853
1182308602473
123530aaa9199
13170c6434413
14a435b22113
15580d73cca3
hex31903fffc5

212873510853 has 12 divisors (see below), whose sum is σ = 308214331308. Its totient is φ = 141578579520.

The previous prime is 212873510819. The next prime is 212873510903. The reversal of 212873510853 is 358015378212.

212873510853 is a `hidden beast` number, since 2 + 1 + 2 + 87 + 3 + 510 + 8 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50772256929 + 162101253924 = 225327^2 + 402618^2 .

It is not a de Polignac number, because 212873510853 - 222 = 212869316549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212873510799 and 212873510808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212873510803) 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 11 ways as a sum of consecutive naturals, for example, 28087200 + ... + 28094777.

It is an arithmetic number, because the mean of its divisors is an integer number (25684527609).

Almost surely, 2212873510853 is an apocalyptic number.

It is an amenable number.

212873510853 is a deficient number, since it is larger than the sum of its proper divisors (95340820455).

212873510853 is a wasteful number, since it uses less digits than its factorization.

212873510853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56182404 (or 56182401 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 212873510853 in words is "two hundred twelve billion, eight hundred seventy-three million, five hundred ten thousand, eight hundred fifty-three".

Divisors: 1 3 9 421 1263 3789 56181977 168545931 505637793 23652612317 70957836951 212873510853