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212989395017196 = 223571731157397953
BaseRepresentation
bin110000011011011001110101…
…001110110001110111101100
31000221010120212010222122100000
4300123121311032301313230
5210404104240111022241
62032553551032304300
762601655522243050
oct6033316516616754
91027116763878300
10212989395017196
1161957327957546
121ba7a931542090
1391aca76b08235
143a84a55403c60
1519955226b3eb6
hexc1b6753b1dec

212989395017196 has 1152 divisors, whose sum is σ = 704369314381824. Its totient is φ = 54877488906240.

The previous prime is 212989395017149. The next prime is 212989395017239. The reversal of 212989395017196 is 691710593989212.

212989395017196 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 89 + 39 + 501 + 7 + 1 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 223493593456 + ... + 223493594408.

It is an arithmetic number, because the mean of its divisors is an integer number (611431696512).

Almost surely, 2212989395017196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212989395017196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352184657190912).

212989395017196 is an abundant number, since it is smaller than the sum of its proper divisors (491379919364628).

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

212989395017196 is a wasteful number, since it uses less digits than its factorization.

212989395017196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 72.

The spelling of 212989395017196 in words is "two hundred twelve trillion, nine hundred eighty-nine billion, three hundred ninety-five million, seventeen thousand, one hundred ninety-six".