Search a number
-
+
5263212123625 = 53531018778969
BaseRepresentation
bin100110010010110111111…
…1000111001010111101001
3200122011021022011101220111
41030211233320321113221
51142213024300424000
615105515233454321
71052153205616561
oct114455770712751
920564238141814
105263212123625
11174a130039845
127100671113a1
132c241b465491
14142a52b7dda1
1591d953ddcba
hex4c96fe395e9

5263212123625 has 64 divisors (see below), whose sum is σ = 6767145103680. Its totient is φ = 4085103360000.

The previous prime is 5263212123613. The next prime is 5263212123709.

5263212123625 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 32 ways, for example, as 2606765244304 + 2656446879321 = 1614548^2 + 1629861^2 .

It is a de Polignac number, because none of the positive numbers 2k-5263212123625 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 586818141 + ... + 586827109.

It is an arithmetic number, because the mean of its divisors is an integer number (105736642245).

Almost surely, 25263212123625 is an apocalyptic number.

It is an amenable number.

5263212123625 is a deficient number, since it is larger than the sum of its proper divisors (1503932980055).

5263212123625 is a wasteful number, since it uses less digits than its factorization.

5263212123625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10015 (or 10005 counting only the distinct ones).

The product of its digits is 259200, while the sum is 40.

The spelling of 5263212123625 in words is "five trillion, two hundred sixty-three billion, two hundred twelve million, one hundred twenty-three thousand, six hundred twenty-five".

Divisors: 1 5 25 53 101 125 265 505 877 1325 2525 4385 5353 6625 8969 12625 21925 26765 44845 46481 88577 109625 133825 224225 232405 442885 475357 669125 905869 1121125 1162025 2214425 2376785 4529345 4694581 5810125 7865813 11072125 11883925 22646725 23472905 39329065 48011057 59419625 113233625 117364525 196645325 240055285 416888089 586822625 794447113 983226625 1200276425 2084440445 3972235565 6001382125 10422202225 19861177825 42105696989 52111011125 99305889125 210528484945 1052642424725 5263212123625