Search a number
-
+
212828956668 = 223237598833067
BaseRepresentation
bin1100011000110110011…
…0000010011111111100
3202100100102020012121200
43012031212002133330
511441333203103133
6241434451055500
721243046166016
oct3061546023774
9670312205550
10212828956668
1182295441229
12352b7ba1590
13170ba1349b3
14a42dc451b6
15580988b913
hex318d9827fc

212828956668 has 144 divisors (see below), whose sum is σ = 562708997760. Its totient is φ = 67756735872.

The previous prime is 212828956661. The next prime is 212828956679. The reversal of 212828956668 is 866659828212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212828956661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69391671 + ... + 69394737.

Almost surely, 2212828956668 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 212828956668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281354498880).

212828956668 is an abundant number, since it is smaller than the sum of its proper divisors (349880041092).

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

212828956668 is a wasteful number, since it uses less digits than its factorization.

212828956668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4051 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 212828956668 in words is "two hundred twelve billion, eight hundred twenty-eight million, nine hundred fifty-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 59 74 111 118 148 177 222 236 333 354 444 531 666 708 883 1062 1332 1766 2124 2183 2649 3067 3532 4366 5298 6134 6549 7947 8732 9201 10596 12268 13098 15894 18402 19647 26196 27603 31788 32671 36804 39294 52097 55206 65342 78588 98013 104194 110412 113479 130684 156291 180953 196026 208388 226958 294039 312582 340437 361906 392052 453916 468873 542859 588078 625164 680874 723812 937746 1021311 1085718 1176156 1361748 1628577 1875492 1927589 2042622 2171436 2708161 3257154 3855178 4085244 5416322 5782767 6514308 6695261 7710356 8124483 10832644 11565534 13390522 16248966 17348301 20085783 23131068 24373449 26781044 32497932 34696602 40171566 48746898 60257349 69393204 80343132 97493796 100201957 120514698 159781499 200403914 241029396 300605871 319562998 400807828 479344497 601211742 639125996 901817613 958688994 1202423484 1438033491 1803635226 1917377988 2876066982 3607270452 5752133964 5911915463 11823830926 17735746389 23647661852 35471492778 53207239167 70942985556 106414478334 212828956668