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795427116993 = 323789211311409
BaseRepresentation
bin10111001001100110010…
…01101001011111000001
32211001010200110012210100
423210303021221133001
5101013013320220433
61405225243353013
7111316265636415
oct13446311513701
92731120405710
10795427116993
1128737a964043
1210a1aab22769
135a015765042
142a6dacc6d45
1515a56b08b13
hexb9332697c1

795427116993 has 96 divisors (see below), whose sum is σ = 1205712518400. Its totient is φ = 504867686400.

The previous prime is 795427116973. The next prime is 795427116997. The reversal of 795427116993 is 399611724597.

795427116993 is a `hidden beast` number, since 7 + 9 + 5 + 427 + 116 + 9 + 93 = 666.

795427116993 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 795427116993 - 217 = 795426985921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 795427116993.

It is not an unprimeable number, because it can be changed into a prime (795427116997) 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, 1944809373 + ... + 1944809781.

It is an arithmetic number, because the mean of its divisors is an integer number (12559505400).

Almost surely, 2795427116993 is an apocalyptic number.

It is an amenable number.

795427116993 is a deficient number, since it is larger than the sum of its proper divisors (410285401407).

795427116993 is a wasteful number, since it uses less digits than its factorization.

795427116993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1060 counting only the distinct ones).

The product of its digits is 25719120, while the sum is 63.

The spelling of 795427116993 in words is "seven hundred ninety-five billion, four hundred twenty-seven million, one hundred sixteen thousand, nine hundred ninety-three".

Divisors: 1 3 9 37 89 111 211 267 311 333 409 633 801 933 1227 1899 2799 3293 3681 7807 9879 11507 15133 18779 23421 27679 29637 34521 36401 45399 56337 65621 70263 83037 86299 103563 109203 127199 136197 169011 196863 249111 258897 327609 381597 590589 694823 776691 1024123 1144791 1346837 2084469 2427977 3072369 3193063 4040511 4706363 5840269 6253407 7283931 7680611 9217107 9579189 11320711 12121533 14119089 17520807 21851793 23041833 26838989 28737567 33962133 42357267 52562421 69125499 80516967 101886399 216089953 241550901 284182607 418866307 648269859 852547821 993042593 1256598921 1944809577 2388670021 2557643463 2979127779 3769796763 7166010063 8937383337 21498030189 88380790777 265142372331 795427116993