Search a number
-
+
283868130690 = 23357319374623
BaseRepresentation
bin1000010000101111101…
…10111110110110000010
31000010201020222011021000
410020113312332312002
514122330220140230
6334223543112430
726336342204364
oct4102766766602
91003636864230
10283868130690
11aa42a183101
1247022a42716
13209cb954101
14da4c884d34
1575b631ab60
hex4217dbed82

283868130690 has 128 divisors (see below), whose sum is σ = 771337543680. Its totient is φ = 74273366016.

The previous prime is 283868130673. The next prime is 283868130737. The reversal of 283868130690 is 96031868382.

It is a happy number.

283868130690 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2838681306902 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3766719 + ... + 3841341.

It is an arithmetic number, because the mean of its divisors is an integer number (6026074560).

Almost surely, 2283868130690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283868130690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385668771840).

283868130690 is an abundant number, since it is smaller than the sum of its proper divisors (487469412990).

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

283868130690 is a wasteful number, since it uses less digits than its factorization.

283868130690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74905 (or 74899 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 283868130690 in words is "two hundred eighty-three billion, eight hundred sixty-eight million, one hundred thirty thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 90 135 146 193 219 270 365 386 438 579 657 730 965 1095 1158 1314 1737 1930 1971 2190 2895 3285 3474 3942 5211 5790 6570 8685 9855 10422 14089 17370 19710 26055 28178 42267 52110 70445 74623 84534 126801 140890 149246 211335 223869 253602 373115 380403 422670 447738 634005 671607 746230 760806 1119345 1268010 1343214 1902015 2014821 2238690 3358035 3804030 4029642 5447479 6716070 10074105 10894958 14402239 16342437 20148210 27237395 28804478 32684874 43206717 49027311 54474790 72011195 81712185 86413434 98054622 129620151 144022390 147081933 163424370 216033585 245136555 259240302 294163866 388860453 432067170 490273110 648100755 735409665 777720906 1051363447 1296201510 1470819330 1944302265 2102726894 3154090341 3888604530 5256817235 6308180682 9462271023 10513634470 15770451705 18924542046 28386813069 31540903410 47311355115 56773626138 94622710230 141934065345 283868130690