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212011786399 = 724326771151
BaseRepresentation
bin1100010101110011100…
…0110010000010011111
3202021020110120122202011
43011130320302002133
511433200004131044
6241221420212051
721213564310300
oct3053470620237
9667213518664
10212011786399
1181a061430a6
123510a39a027
1316cb9a4c6aa
14a3934ca7a7
1557acc72134
hex315ce3209f

212011786399 has 6 divisors (see below), whose sum is σ = 246625955664. Its totient is φ = 181724388300.

The previous prime is 212011786351. The next prime is 212011786403. The reversal of 212011786399 is 993687110212.

It is a happy number.

212011786399 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212011786399 - 223 = 212003397791 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49), and also a Moran number because the ratio is a prime number: 4326771151 = 212011786399 / (2 + 1 + 2 + 0 + 1 + 1 + 7 + 8 + 6 + 3 + 9 + 9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011786309) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2163385527 + ... + 2163385624.

It is an arithmetic number, because the mean of its divisors is an integer number (41104325944).

Almost surely, 2212011786399 is an apocalyptic number.

212011786399 is a deficient number, since it is larger than the sum of its proper divisors (34614169265).

212011786399 is an equidigital number, since it uses as much as digits as its factorization.

212011786399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326771165 (or 4326771158 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

The spelling of 212011786399 in words is "two hundred twelve billion, eleven million, seven hundred eighty-six thousand, three hundred ninety-nine".

Divisors: 1 7 49 4326771151 30287398057 212011786399