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212068638784 = 2637412184293
BaseRepresentation
bin1100010110000001000…
…1101010000001000000
3202021101102120001120001
43011200101222001000
511433304032420114
6241231210525344
721215154454552
oct3054021520100
9667342501501
10212068638784
1181a35244142
1235125436854
1316cc8766a62
14a39ac894d2
1557b2c52374
hex316046a040

212068638784 has 56 divisors (see below), whose sum is σ = 442738919448. Its totient is φ = 100652175360.

The previous prime is 212068638781. The next prime is 212068638797. The reversal of 212068638784 is 487836860212.

It can be written as a sum of positive squares in 4 ways, for example, as 321413184 + 211747225600 = 17928^2 + 460160^2 .

It is not an unprimeable number, because it can be changed into a prime (212068638781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 995059 + ... + 1189234.

It is an arithmetic number, because the mean of its divisors is an integer number (7906052133).

Almost surely, 2212068638784 is an apocalyptic number.

It is an amenable number.

212068638784 is an abundant number, since it is smaller than the sum of its proper divisors (230670280664).

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

212068638784 is a wasteful number, since it uses less digits than its factorization.

212068638784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184383 (or 2184373 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 212068638784 in words is "two hundred twelve billion, sixty-eight million, six hundred thirty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 148 164 296 328 592 656 1184 1312 1517 2368 2624 3034 6068 12136 24272 48544 97088 2184293 4368586 8737172 17474344 34948688 69897376 80818841 89556013 139794752 161637682 179112026 323275364 358224052 646550728 716448104 1293101456 1432896208 2586202912 2865792416 3313572481 5172405824 5731584832 6627144962 13254289924 26508579848 53017159696 106034319392 212068638784