Search a number
-
+
46640639196 = 223219838111013
BaseRepresentation
bin101011011011111111…
…111010110011011100
311110101110120221221100
4223123333322303130
51231010000423241
633232034433100
73240540614634
oct533377726334
9143343527840
1046640639196
1118864474608
129057a32790
134523aa5678
1423865016c4
15132e9b89b6
hexadbffacdc

46640639196 has 144 divisors (see below), whose sum is σ = 125876499840. Its totient is φ = 14518880640.

The previous prime is 46640639191. The next prime is 46640639197. The reversal of 46640639196 is 69193604664.

46640639196 is a `hidden beast` number, since 4 + 66 + 406 + 3 + 91 + 96 = 666.

It is a super-2 number, since 2×466406391962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46640639191) 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, 46041586 + ... + 46042598.

It is an arithmetic number, because the mean of its divisors is an integer number (874142360).

Almost surely, 246640639196 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 46640639196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62938249920).

46640639196 is an abundant number, since it is smaller than the sum of its proper divisors (79235860644).

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

46640639196 is a wasteful number, since it uses less digits than its factorization.

46640639196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 46640639196 in words is "forty-six billion, six hundred forty million, six hundred thirty-nine thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 83 114 166 171 228 249 332 342 498 684 747 811 996 1013 1494 1577 1622 2026 2433 2988 3039 3154 3244 4052 4731 4866 6078 6308 7299 9117 9462 9732 12156 14193 14598 15409 18234 18924 19247 28386 29196 30818 36468 38494 46227 56772 57741 61636 67313 76988 84079 92454 115482 134626 138681 168158 173223 184908 201939 230964 252237 269252 277362 336316 346446 403878 504474 554724 605817 692892 756711 807756 821543 1008948 1211634 1278947 1513422 1597501 1643086 2423268 2464629 2557894 3026844 3195002 3286172 3836841 4792503 4929258 5115788 6390004 7393887 7673682 9585006 9858516 11510523 14377509 14787774 15347364 15609317 19170012 23021046 28755018 29575548 31218634 46042092 46827951 57510036 62437268 68188069 93655902 136376138 140483853 187311804 204564207 272752276 280967706 409128414 561935412 613692621 818256828 1227385242 1295573311 2454770484 2591146622 3886719933 5182293244 7773439866 11660159799 15546879732 23320319598 46640639196