Search a number
-
+
493061422812 = 223729259118297
BaseRepresentation
bin1110010110011001100…
…00000011111011011100
31202010200022001110201020
413023030300003323130
531034242211012222
61014302001244140
750423343641340
oct7131460037334
91663608043636
10493061422812
11180119356792
127b685333650
133765979c5ba
1419c158d5620
15cc5b8ed65c
hex72ccc03edc

493061422812 has 144 divisors (see below), whose sum is σ = 1384824779520. Its totient is φ = 133710441984.

The previous prime is 493061422741. The next prime is 493061422823. The reversal of 493061422812 is 218224160394.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4108848 + ... + 4227144.

Almost surely, 2493061422812 is an apocalyptic number.

493061422812 is a gapful number since it is divisible by the number (42) 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 493061422812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692412389760).

493061422812 is an abundant number, since it is smaller than the sum of its proper divisors (891763356708).

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

493061422812 is a wasteful number, since it uses less digits than its factorization.

493061422812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118428 (or 118397 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 493061422812 in words is "four hundred ninety-three billion, sixty-one million, four hundred twenty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 59 84 87 116 118 174 177 203 236 348 354 406 413 609 708 812 826 841 1218 1239 1652 1682 1711 2436 2478 2523 3364 3422 4956 5046 5133 5887 6844 10092 10266 11774 11977 17661 20532 23548 23954 35322 35931 47908 49619 70644 71862 99238 118297 143724 148857 198476 236594 297714 347333 354891 473188 595428 694666 709782 828079 1041999 1389332 1419564 1656158 2083998 2484237 3312316 3430613 4167996 4968474 6861226 6979523 9936948 10291839 13722452 13959046 20583678 20938569 24014291 27918092 41167356 41877138 48028582 48856661 72042873 83754276 96057164 97713322 99487777 144085746 146569983 195426644 198975554 202406167 288171492 293139966 298463331 397951108 404812334 586279932 596926662 607218501 696414439 809624668 1193853324 1214437002 1392828878 1416843169 2089243317 2428874004 2785657756 2833686338 4178486634 4250529507 5667372676 5869778843 8356973268 8501059014 11739557686 17002118028 17609336529 23479115372 35218673058 41088451901 70437346116 82176903802 123265355703 164353807604 246530711406 493061422812