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1968013212 = 2231128997157
BaseRepresentation
bin111010101001101…
…0111111110011100
312002011011102121020
41311103113332130
513012302410322
6523141204140
766524556564
oct16523277634
95064142536
101968013212
1191a98a500
1246b100650
13254957c79
1414952dda4
15b7b9505c
hex754d7f9c

1968013212 has 144 divisors (see below), whose sum is σ = 5189617440. Its totient is φ = 579870720.

The previous prime is 1968013199. The next prime is 1968013219. The reversal of 1968013212 is 2123108691.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968013219) 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, 12535038 + ... + 12535194.

It is an arithmetic number, because the mean of its divisors is an integer number (36039010).

Almost surely, 21968013212 is an apocalyptic number.

1968013212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968013212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594808720).

1968013212 is an abundant number, since it is smaller than the sum of its proper divisors (3221604228).

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

1968013212 is a wasteful number, since it uses less digits than its factorization.

1968013212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1968013212 is about 44362.2949361279. The cubic root of 1968013212 is about 1253.1681155448.

The spelling of 1968013212 in words is "one billion, nine hundred sixty-eight million, thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 97 121 132 157 178 194 242 267 291 314 356 363 388 471 484 534 582 628 726 942 979 1067 1068 1164 1452 1727 1884 1958 2134 2937 3201 3454 3916 4268 5181 5874 6402 6908 8633 10362 10769 11737 11748 12804 13973 15229 17266 18997 20724 21538 23474 25899 27946 30458 32307 34532 35211 37994 41919 43076 45687 46948 51798 55892 56991 60916 64614 70422 75988 83838 91374 94963 103596 113982 129228 140844 153703 167519 167676 182748 189926 227964 284889 307406 335038 379852 461109 502557 569778 614812 670076 922218 1005114 1044593 1139556 1355381 1690733 1842709 1844436 2010228 2089186 2710762 3133779 3381466 3685418 4066143 4178372 5072199 5421524 5528127 6267558 6762932 7370836 8132286 10144398 11056254 12535116 14909191 16264572 20288796 22112508 29818382 44727573 59636764 89455146 164001101 178910292 328002202 492003303 656004404 984006606 1968013212