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335297450610993 = 313231612771262557
BaseRepresentation
bin100110000111100111000010…
…1011100000001000100110001
31121222012010022211120010020110
41030033032011130001010301
5322422003134324022433
63145041304454531533
7130424304253334103
oct11417160534010461
91558163284503213
10335297450610993
1197921939757672
1231732a85966ba9
131151254c504500
145cb26a9c81573
1528b6cc97d3963
hex130f385701131

335297450610993 has 96 divisors (see below), whose sum is σ = 509740197491712. Its totient is φ = 195698200089600.

The previous prime is 335297450610971. The next prime is 335297450611021. The reversal of 335297450610993 is 399016054792533.

It is not a de Polignac number, because 335297450610993 - 29 = 335297450610481 is a prime.

It is a super-2 number, since 2×3352974506109932 (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (335297450614993) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264938871 + ... + 266201427.

It is an arithmetic number, because the mean of its divisors is an integer number (5309793723872).

Almost surely, 2335297450610993 is an apocalyptic number.

It is an amenable number.

335297450610993 is a deficient number, since it is larger than the sum of its proper divisors (174442746880719).

335297450610993 is a wasteful number, since it uses less digits than its factorization.

335297450610993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262955 (or 1262942 counting only the distinct ones).

The product of its (nonzero) digits is 165337200, while the sum is 66.

The spelling of 335297450610993 in words is "three hundred thirty-five trillion, two hundred ninety-seven billion, four hundred fifty million, six hundred ten thousand, nine hundred ninety-three".

Divisors: 1 3 13 31 39 61 93 169 183 277 403 507 793 831 1209 1891 2379 3601 5239 5673 8587 10309 10803 15717 16897 24583 25761 30927 46813 50691 73749 111631 140439 219661 319579 334893 523807 658983 958737 1262557 1451203 1571421 2855593 3787671 4353609 6809491 8566779 16413241 20428473 39139267 49239723 77015977 88523383 117417801 213372133 231047931 265570149 349728289 508810471 640116399 1001207701 1049184867 1526431413 2387495287 3003623103 4546467757 6614536123 7162485861 10841576959 13015700113 13639403271 19843608369 21333425629 31037438731 32524730877 39047100339 59104080841 64000276887 93112316193 140940500467 177312242523 277334533177 403486703503 422821501401 661336194499 832003599531 1210460110509 1832226506071 1984008583497 3605348931301 5496679518213 8597370528487 10816046793903 25792111585461 111765816870331 335297450610993