Search a number
-
+
12490227808038 = 2322983215722123
BaseRepresentation
bin1011010111000001101110…
…0101110111011100100110
31122020001110110012000210100
42311300123211313130212
53114114441304324123
642321533105204530
72426250326433321
oct265603345673446
948201413160710
1012490227808038
113a86091a838a2
121498834030746
136c7a920c2846
1431275d01d7b8
15169d75b94643
hexb5c1b977726

12490227808038 has 144 divisors (see below), whose sum is σ = 28518472728720. Its totient is φ = 3945937597056.

The previous prime is 12490227807997. The next prime is 12490227808049. The reversal of 12490227808038 is 83080872209421.

12490227808038 is a `hidden beast` number, since 1 + 2 + 490 + 2 + 2 + 78 + 0 + 80 + 3 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 564570045 + ... + 564592167.

It is an arithmetic number, because the mean of its divisors is an integer number (198044949505).

Almost surely, 212490227808038 is an apocalyptic number.

12490227808038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12490227808038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14259236364360).

12490227808038 is an abundant number, since it is smaller than the sum of its proper divisors (16028244920682).

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

12490227808038 is a wasteful number, since it uses less digits than its factorization.

12490227808038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22483 (or 22397 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 12490227808038 in words is "twelve trillion, four hundred ninety billion, two hundred twenty-seven million, eight hundred eight thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 29 58 83 87 157 166 174 249 261 314 471 498 522 747 942 1413 1494 2407 2826 4553 4814 6889 7221 9106 13031 13659 13778 14442 20667 21663 22123 26062 27318 39093 40977 41334 43326 44246 62001 66369 78186 81954 117279 124002 132738 199107 199781 234558 377899 398214 399562 599343 641567 755798 1081573 1133697 1198686 1283134 1798029 1836209 1924701 2163146 2267394 3244719 3401091 3473311 3596058 3672418 3849402 5508627 5774103 6489438 6802182 6946622 9734157 10419933 11017254 11548206 16525881 19468314 20839866 31259799 31365617 33051762 53250061 62519598 62731234 94096851 100726019 106500122 152405347 159750183 188193702 201452038 282290553 288284813 302178057 304810694 319500366 457216041 479250549 564581106 576569626 604356114 864854439 906534171 914432082 958501098 1371648123 1729708878 1813068342 2594563317 2743296246 4419755063 5189126634 8360259577 8839510126 13259265189 16720519154 23927639479 25080778731 26518530378 39777795567 47855278958 50161557462 71782918437 75242336193 79555591134 143565836874 150484672386 215348755311 430697510622 693901544891 1387803089782 2081704634673 4163409269346 6245113904019 12490227808038