Search a number
-
+
6419537968698 = 2323164733235351
BaseRepresentation
bin101110101101010101001…
…0001111011111000111010
3211201200221122020120100100
41131122222101323320322
51320134203204444243
621353032305420230
71231540064260101
oct135325221737072
924650848216310
106419537968698
11205556890a918
1287819633a676
1337748a725a5a
141829c8b67038
15b1ec0c840d3
hex5d6aa47be3a

6419537968698 has 96 divisors (see below), whose sum is σ = 14386882977792. Its totient is φ = 2066609556000.

The previous prime is 6419537968651. The next prime is 6419537968799. The reversal of 6419537968698 is 8968697359146.

6419537968698 is a `hidden beast` number, since 6 + 4 + 19 + 537 + 9 + 6 + 8 + 69 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1199686723 + ... + 1199692073.

It is an arithmetic number, because the mean of its divisors is an integer number (149863364352).

Almost surely, 26419537968698 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6419537968698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7193441488896).

6419537968698 is an abundant number, since it is smaller than the sum of its proper divisors (7967345009094).

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

6419537968698 is a wasteful number, since it uses less digits than its factorization.

6419537968698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9360 (or 9357 counting only the distinct ones).

The product of its digits is 4232632320, while the sum is 81.

The spelling of 6419537968698 in words is "six trillion, four hundred nineteen billion, five hundred thirty-seven million, nine hundred sixty-eight thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 647 1294 1941 3323 3882 5351 5823 6646 9969 10702 11646 16053 19938 20057 29907 32106 40114 48159 59814 60171 96318 103013 120342 165881 180513 206026 309039 331762 361026 497643 618078 927117 995286 1492929 1854234 2149981 2985858 3462097 4299962 6449943 6924194 10386291 12899886 17781373 19349829 20772582 31158873 35562746 38699658 53344119 62317746 66649411 106688238 107325007 133298822 160032357 199948233 214650014 320064714 321975021 399896466 551222563 599844699 643950042 965925063 1102445126 1199689398 1653667689 1931850126 3307335378 4961003067 9922006134 11504548331 23009096662 34513644993 69027289986 103540934979 207081869958 356640998261 713281996522 1069922994783 2139845989566 3209768984349 6419537968698