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212066116605 = 3457372021699
BaseRepresentation
bin1100010110000000100…
…0000010001111111101
3202021101020210220210000
43011200020002033331
511433302411212410
6241231040504513
721215124151350
oct3054010021775
9667336726700
10212066116605
1181a338811a2
123512461b139
1316cc8092a45
14a39a7d0297
1557b2904dc0
hex31602023fd

212066116605 has 80 divisors (see below), whose sum is σ = 446197276800. Its totient is φ = 94324341888.

The previous prime is 212066116589. The next prime is 212066116607. The reversal of 212066116605 is 506611660212.

212066116605 is a `hidden beast` number, since 21 + 20 + 6 + 6 + 1 + 1 + 6 + 605 = 666.

It is not a de Polignac number, because 212066116605 - 24 = 212066116589 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 212066116605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212066116607) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 905955 + ... + 1115744.

It is an arithmetic number, because the mean of its divisors is an integer number (5577465960).

Almost surely, 2212066116605 is an apocalyptic number.

It is an amenable number.

212066116605 is an abundant number, since it is smaller than the sum of its proper divisors (234131160195).

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

212066116605 is a wasteful number, since it uses less digits than its factorization.

212066116605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021760 (or 2021751 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 212066116605 its reverse (506611660212), we get a palindrome (718677776817).

The spelling of 212066116605 in words is "two hundred twelve billion, sixty-six million, one hundred sixteen thousand, six hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 63 81 105 111 135 185 189 259 315 333 405 555 567 777 945 999 1295 1665 2331 2835 2997 3885 4995 6993 11655 14985 20979 34965 104895 2021699 6065097 10108495 14151893 18195291 30325485 42455679 54585873 70759465 74802863 90976455 127367037 163757619 212278395 224408589 272929365 374014315 382101111 523620041 636835185 673225767 818788095 1122042945 1146303333 1570860123 1910505555 2019677301 2618100205 3366128835 4712580369 5731516665 6059031903 7854300615 10098386505 14137741107 23562901845 30295159515 42413223321 70688705535 212066116605