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331385836656 = 243719181286789
BaseRepresentation
bin1001101001010000010…
…00101001010001110000
31011200100211220201121210
410310220020221101300
520412134233233111
6412123032320120
732641023064320
oct4645010512160
91150324821553
10331385836656
111185a3735986
1254284543040
13253323538a4
1412079653280
158947cd10a6
hex4d28229470

331385836656 has 160 divisors (see below), whose sum is σ = 1035564275200. Its totient is φ = 89202539520.

The previous prime is 331385836643. The next prime is 331385836667. The reversal of 331385836656 is 656638583133.

It is a super-2 number, since 2×3313858366562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 331385836596 and 331385836605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1012110 + ... + 1298898.

It is an arithmetic number, because the mean of its divisors is an integer number (6472276720).

Almost surely, 2331385836656 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 331385836656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517782137600).

331385836656 is an abundant number, since it is smaller than the sum of its proper divisors (704178438544).

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

331385836656 is a wasteful number, since it uses less digits than its factorization.

331385836656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287007 (or 287001 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 57.

The spelling of 331385836656 in words is "three hundred thirty-one billion, three hundred eighty-five million, eight hundred thirty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 181 228 266 304 336 362 399 456 532 543 724 798 912 1064 1086 1267 1448 1596 2128 2172 2534 2896 3192 3439 3801 4344 5068 6384 6878 7602 8688 10136 10317 13756 15204 20272 20634 24073 27512 30408 41268 48146 55024 60816 72219 82536 96292 144438 165072 192584 286789 288876 385168 573578 577752 860367 1147156 1155504 1720734 2007523 2294312 3441468 4015046 4588624 5448991 6022569 6882936 8030092 10897982 12045138 13765872 16060184 16346973 21795964 24090276 32120368 32693946 38142937 43591928 48180552 51908809 65387892 76285874 87183856 96361104 103817618 114428811 130775784 152571748 155726427 207635236 228857622 261551568 305143496 311452854 363361663 415270472 457715244 610286992 622905708 726723326 830540944 915430488 986267371 1090084989 1245811416 1453446652 1830860976 1972534742 2180169978 2491622832 2906893304 2958802113 3945069484 4360339956 5813786608 5917604226 6903871597 7890138968 8720679912 11835208452 13807743194 15780277936 17441359824 20711614791 23670416904 27615486388 41423229582 47340833808 55230972776 82846459164 110461945552 165692918328 331385836656