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212260166664 = 233721313884103
BaseRepresentation
bin1100010110101110110…
…0010001110000001000
3202021212202221200102020
43011223230101300020
511434202100313124
6241302212004440
721223001435100
oct3055354216010
9667782850366
10212260166664
118202336a947
1235179600720
1317029345a70
14a3b84a4200
1557c4986379
hex316bb11c08

212260166664 has 96 divisors (see below), whose sum is σ = 664770899520. Its totient is φ = 55980699264.

The previous prime is 212260166647. The next prime is 212260166683. The reversal of 212260166664 is 466661062212.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6926764 + ... + 6957339.

It is an arithmetic number, because the mean of its divisors is an integer number (6924696870).

Almost surely, 2212260166664 is an apocalyptic number.

212260166664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212260166664 is an abundant number, since it is smaller than the sum of its proper divisors (452510732856).

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

212260166664 is a wasteful number, since it uses less digits than its factorization.

212260166664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13884139 (or 13884128 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 212260166664 in words is "two hundred twelve billion, two hundred sixty million, one hundred sixty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 3822 5096 7644 15288 13884103 27768206 41652309 55536412 83304618 97188721 111072824 166609236 180493339 194377442 291566163 333218472 360986678 388754884 541480017 583132326 680321047 721973356 777509768 1082960034 1166264652 1263453373 1360642094 1443946712 2040963141 2165920068 2332529304 2526906746 2721284188 3790360119 4081926282 4331840136 5053813492 5442568376 7580720238 8163852564 8844173611 10107626984 15161440476 16327705128 17688347222 26532520833 30322880952 35376694444 53065041666 70753388888 106130083332 212260166664