Search a number
-
+
5044168196353 = 11132329264719979
BaseRepresentation
bin100100101100110111111…
…0110101000000100000001
3122212012212202100222101101
41021121233312220010001
51130120424024240403
614421131530134401
71030300122143656
oct111315766500401
918765782328341
105044168196353
11167524649a180
12695715881401
132a78808685b0
141361d376bc2d
158b32510471d
hex4966fda8101

5044168196353 has 64 divisors (see below), whose sum is σ = 6399635558400. Its totient is φ = 3907543368960.

The previous prime is 5044168196329. The next prime is 5044168196357. The reversal of 5044168196353 is 3536918614405.

It is a happy number.

It is not a de Polignac number, because 5044168196353 - 25 = 5044168196321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5044168196294 and 5044168196303.

It is not an unprimeable number, because it can be changed into a prime (5044168196357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252463518 + ... + 252483496.

It is an arithmetic number, because the mean of its divisors is an integer number (99994305600).

Almost surely, 25044168196353 is an apocalyptic number.

It is an amenable number.

5044168196353 is a deficient number, since it is larger than the sum of its proper divisors (1355467362047).

5044168196353 is a wasteful number, since it uses less digits than its factorization.

5044168196353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22702.

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 5044168196353 in words is "five trillion, forty-four billion, one hundred sixty-eight million, one hundred ninety-six thousand, three hundred fifty-three".

Divisors: 1 11 13 23 29 143 253 299 319 377 667 2647 3289 4147 7337 8671 19979 29117 34411 60881 76763 95381 219769 259727 378521 459517 579391 669691 791453 844393 997919 1765549 2856997 5054687 5973721 6373301 7532083 8705983 10977109 13325993 19421039 22952137 52884413 65710931 82852913 146585923 173237909 252473507 581728543 687497369 1216341499 1533647977 1905616999 7562471059 13379756489 15812439487 16870127747 19937423701 35273903471 173936834357 219311660711 388012938181 458560745123 5044168196353