Search a number
-
+
5339466649335 = 3571321459206237
BaseRepresentation
bin100110110110011000100…
…0000110100111011110111
3200220110002121111200002110
41031230301000310323313
51144440211430234320
615204530032542103
71060522650446220
oct115546100647367
920813077450073
105339466649335
1117795007a6625
127229a86b1933
132c9681614200
141466082dc247
1593d59b625e0
hex4db31034ef7

5339466649335 has 96 divisors (see below), whose sum is σ = 10579712417280. Its totient is φ = 2251582354944.

The previous prime is 5339466649249. The next prime is 5339466649369.

5339466649335 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5339466649335 - 220 = 5339465600759 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25786837 + ... + 25993073.

It is an arithmetic number, because the mean of its divisors is an integer number (110205337680).

Almost surely, 25339466649335 is an apocalyptic number.

5339466649335 is a deficient number, since it is larger than the sum of its proper divisors (5240245767945).

5339466649335 is a wasteful number, since it uses less digits than its factorization.

5339466649335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207737 (or 207724 counting only the distinct ones).

The product of its digits is 566870400, while the sum is 66.

The spelling of 5339466649335 in words is "five trillion, three hundred thirty-nine billion, four hundred sixty-six million, six hundred forty-nine thousand, three hundred thirty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 169 195 273 455 507 845 1183 1365 1459 2535 3549 4377 5915 7295 10213 17745 18967 21885 30639 51065 56901 94835 132769 153195 206237 246571 284505 398307 618711 663845 739713 1031185 1232855 1443659 1725997 1991535 2681081 3093555 3698565 4330977 5177991 7218295 8043243 8629985 13405405 18767567 21654885 25889955 34854053 40216215 56302701 93837835 104562159 174270265 243978371 281513505 300899783 522810795 731935113 902699349 1219891855 1504498915 2106298481 3659675565 3911697179 4513496745 6318895443 10531492405 11735091537 19558485895 27381880253 31594477215 50852063327 58675457685 82145640759 136909401265 152556189981 254260316635 355964443289 410728203795 762780949905 1067893329867 1779822216445 5339466649335