Search a number
-
+
946639486116 = 223419122832
BaseRepresentation
bin11011100011010000001…
…11000011110010100100
310100111102221012110110000
431301220013003302210
5111002204202023431
62002514041301300
7125251415603502
oct15615007036244
93314387173400
10946639486116
11335516347045
1213356b794830
136b36324997c
1433b636a7672
1519956d689e6
hexdc681c3ca4

946639486116 has 135 divisors (see below), whose sum is σ = 2496548617563. Its totient is φ = 312785251920.

The previous prime is 946639486109. The next prime is 946639486157. The reversal of 946639486116 is 611684936649.

The square root of 946639486116 is 972954.

It is a perfect power (a square), and thus also a powerful number.

946639486116 is a `hidden beast` number, since 9 + 4 + 6 + 6 + 3 + 9 + 4 + 8 + 611 + 6 = 666.

It is a super-2 number, since 2×9466394861162 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3345015711 + ... + 3345015993.

Almost surely, 2946639486116 is an apocalyptic number.

946639486116 is the 972954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 946639486116

946639486116 is an abundant number, since it is smaller than the sum of its proper divisors (1549909131447).

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

946639486116 is an equidigital number, since it uses as much as digits as its factorization.

946639486116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 479 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 946639486116 in words is "nine hundred forty-six billion, six hundred thirty-nine million, four hundred eighty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 191 283 324 382 566 573 764 849 1132 1146 1698 1719 2292 2547 3396 3438 5094 5157 6876 7641 10188 10314 15282 15471 20628 22923 30564 30942 36481 45846 54053 61884 72962 80089 91692 108106 109443 145924 160178 162159 216212 218886 240267 320356 324318 328329 437772 480534 486477 648636 656658 720801 961068 972954 984987 1313316 1441602 1459431 1945908 1969974 2162403 2883204 2918862 2954961 3939948 4324806 4378293 5837724 5909922 6487209 8649612 8756586 10324123 11819844 12974418 15296999 17513172 20648246 25948836 30593998 30972369 41296492 45890997 61187996 61944738 91781994 92917107 123889476 137672991 183563988 185834214 275345982 278751321 371668428 413018973 550691964 557502642 826037946 836253963 1115005284 1239056919 1652075892 1672507926 2478113838 2921726809 3345015852 4956227676 5843453618 8765180427 11686907236 17530360854 26295541281 35060721708 52591082562 78886623843 105182165124 157773247686 236659871529 315546495372 473319743058 946639486116