Search a number
-
+
494498501688 = 2332329289710663
BaseRepresentation
bin1110011001000100110…
…10000101010000111000
31202021101110011122022210
413030202122011100320
531100213104023223
61015100335015120
750504063624562
oct7144232052070
91667343148283
10494498501688
11180796570384
127ba0666a4a0
1337828431129
1419d106da332
15cce2b69893
hex7322685438

494498501688 has 128 divisors (see below), whose sum is σ = 1335064550400. Its totient is φ = 152162605056.

The previous prime is 494498501687. The next prime is 494498501741. The reversal of 494498501688 is 886105894494.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494498501687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46369845 + ... + 46380507.

It is an arithmetic number, because the mean of its divisors is an integer number (10430191800).

Almost surely, 2494498501688 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 494498501688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667532275200).

494498501688 is an abundant number, since it is smaller than the sum of its proper divisors (840566048712).

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

494498501688 is a wasteful number, since it uses less digits than its factorization.

494498501688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13621 (or 13617 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 66.

The spelling of 494498501688 in words is "four hundred ninety-four billion, four hundred ninety-eight million, five hundred one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 552 667 696 1334 2001 2668 2897 4002 5336 5794 8004 8691 10663 11588 16008 17382 21326 23176 31989 34764 42652 63978 66631 69528 84013 85304 127956 133262 168026 199893 245249 252039 255912 266524 309227 336052 399786 490498 504078 533048 618454 672104 735747 799572 927681 980996 1008156 1236908 1471494 1599144 1855362 1932299 1961992 2016312 2473816 2942988 3710724 3864598 5796897 5885976 7112221 7421448 7729196 11593794 14224442 15458392 21336663 23187588 28448884 30890711 42673326 46375176 56897768 61781422 85346652 92672133 123562844 170693304 185344266 247125688 370688532 710486353 741377064 895830619 1420972706 1791661238 2131459059 2687491857 2841945412 3583322476 4262918118 5374983714 5683890824 7166644952 8525836236 10749967428 17051672472 20604104237 21499934856 41208208474 61812312711 82416416948 123624625422 164832833896 247249250844 494498501688