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212085694784 = 264180825341
BaseRepresentation
bin1100010110000101001…
…0101110000101000000
3202021102121122120222202
43011201102232011000
511433322414213114
6241233020252332
721215452442525
oct3054122560500
9667377576882
10212085694784
1181a43933607
123512b0a10a8
1316ccc159172
14a39d24914c
1557b44c0cde
hex31614ae140

212085694784 has 28 divisors (see below), whose sum is σ = 431122374228. Its totient is φ = 103456435200.

The previous prime is 212085694783. The next prime is 212085694801. The reversal of 212085694784 is 487496580212.

It can be written as a sum of positive squares in 2 ways, for example, as 64045437184 + 148040257600 = 253072^2 + 384760^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212085694783) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40410047 + ... + 40415294.

It is an arithmetic number, because the mean of its divisors is an integer number (15397227651).

Almost surely, 2212085694784 is an apocalyptic number.

It is an amenable number.

212085694784 is an abundant number, since it is smaller than the sum of its proper divisors (219036679444).

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

212085694784 is an equidigital number, since it uses as much as digits as its factorization.

212085694784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80825394 (or 80825384 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 56.

The spelling of 212085694784 in words is "two hundred twelve billion, eighty-five million, six hundred ninety-four thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 80825341 161650682 323301364 646602728 1293205456 2586410912 3313838981 5172821824 6627677962 13255355924 26510711848 53021423696 106042847392 212085694784