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212942562849 = 3142112
BaseRepresentation
bin1100011001010001011…
…1011010011000100001
3202100122100000000000000
43012110113122120201
511442101244002344
6241454030050213
721245625630252
oct3062427323041
9670570000000
10212942562849
1182343586235
123532a049969
13171078305a3
14a440d78b29
15581482ca69
hex31945da621

212942562849 has 45 divisors (see below), whose sum is σ = 320934806049. Its totient is φ = 141288904260.

The previous prime is 212942562829. The next prime is 212942562881. The reversal of 212942562849 is 948265249212.

The square root of 212942562849 is 461457.

It is a perfect power (a square), and thus also a powerful number.

212942562849 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 4 + 2 + 5 + 628 + 4 + 9 = 666.

It is not a de Polignac number, because 212942562849 - 235 = 178582824481 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212942562795 and 212942562804.

It is not an unprimeable number, because it can be changed into a prime (212942562829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1009206354 + ... + 1009206564.

Almost surely, 2212942562849 is an apocalyptic number.

212942562849 is the 461457-th square number.

212942562849 is the 230729-th centered octagonal number.

It is an amenable number.

212942562849 is a deficient number, since it is larger than the sum of its proper divisors (107992243200).

212942562849 is an frugal number, since it uses more digits than its factorization.

212942562849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 214 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 212942562849 in words is "two hundred twelve billion, nine hundred forty-two million, five hundred sixty-two thousand, eight hundred forty-nine".

Divisors: 1 3 9 27 81 211 243 633 729 1899 2187 5697 6561 17091 19683 44521 51273 59049 133563 153819 177147 400689 461457 531441 1202067 1384371 1594323 3606201 4153113 4782969 10818603 12459339 32455809 37378017 97367427 112134051 292102281 336402153 876306843 1009206459 2628920529 7886761587 23660284761 70980854283 212942562849