Search a number
-
+
7106686247166 = 23112959197319453
BaseRepresentation
bin110011101101010011110…
…0000100110000011111110
3221011101121011221212102220
41213122213200212003332
51412413443134402131
623040433330030210
71332304211255532
oct147324740460376
927141534855386
107106686247166
11229aa2412a950
129693a6a18366
133c720843942c
141a7d7329dbc2
15c4cdb928e96
hex676a78260fe

7106686247166 has 128 divisors (see below), whose sum is σ = 16394890406400. Its totient is φ = 2033656988160.

The previous prime is 7106686247161. The next prime is 7106686247191. The reversal of 7106686247166 is 6617426866017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7106686247161) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 22086696 + ... + 22406148.

It is an arithmetic number, because the mean of its divisors is an integer number (128085081300).

Almost surely, 27106686247166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7106686247166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8197445203200).

7106686247166 is an abundant number, since it is smaller than the sum of its proper divisors (9288204159234).

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

7106686247166 is a wasteful number, since it uses less digits than its factorization.

7106686247166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319754.

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 7106686247166 in words is "seven trillion, one hundred six billion, six hundred eighty-six million, two hundred forty-seven thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 22 29 33 58 59 66 87 118 174 177 197 319 354 394 591 638 649 957 1182 1298 1711 1914 1947 2167 3422 3894 4334 5133 5713 6501 10266 11426 11623 13002 17139 18821 23246 34278 34869 37642 56463 62843 69738 112926 125686 127853 188529 255706 319453 337067 377058 383559 638906 674134 767118 958359 1011201 1916718 2022402 3513983 3707737 7027966 7415474 9264137 10541949 11123211 18528274 18847727 21083898 22246422 27792411 37695454 55584822 56543181 62932241 101905507 113086362 125864482 188796723 203811014 207324997 305716521 377593446 414649994 546584083 611433042 621974991 692254651 1093168166 1243949982 1384509302 1639752249 1825034989 2076763953 3279504498 3650069978 3713002219 4153527906 5475104967 6012424913 7426004438 10950209934 11139006657 12024849826 18037274739 20075384879 22278013314 36074549478 40150769758 40843024409 60226154637 81686048818 107677064351 120452309274 122529073227 215354128702 245058146454 323031193053 646062386106 1184447707861 2368895415722 3553343123583 7106686247166