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2513425416252 = 2232347269720289
BaseRepresentation
bin100100100100110011110…
…101000100000000111100
322220021120221100101001120
4210210303311010000330
5312134443401310002
65202352433310540
7346406011351602
oct44446365040074
98807527311046
102513425416252
11889a35139213
12347151105450
13153026c53c1a
1489916b3b872
15455a7596cbc
hex24933d4403c

2513425416252 has 96 divisors (see below), whose sum is σ = 6273092044800. Its totient is φ = 781414520832.

The previous prime is 2513425416251. The next prime is 2513425416269. The reversal of 2513425416252 is 2526145243152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513425416251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3129324 + ... + 3849612.

It is an arithmetic number, because the mean of its divisors is an integer number (65344708800).

Almost surely, 22513425416252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2513425416252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136546022400).

2513425416252 is an abundant number, since it is smaller than the sum of its proper divisors (3759666628548).

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

2513425416252 is a wasteful number, since it uses less digits than its factorization.

2513425416252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720635 (or 720633 counting only the distinct ones).

The product of its digits is 576000, while the sum is 42.

The spelling of 2513425416252 in words is "two trillion, five hundred thirteen billion, four hundred twenty-five million, four hundred sixteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 269 276 282 538 564 807 1076 1081 1614 2162 3228 3243 4324 6187 6486 12374 12643 12972 18561 24748 25286 37122 37929 50572 74244 75858 151716 290789 581578 720289 872367 1163156 1440578 1744734 2160867 2881156 3489468 4321734 8643468 16566647 33133294 33853583 49699941 66266588 67707166 99399882 101560749 135414332 193757741 198799764 203121498 387515482 406242996 581273223 775030964 778632409 1162546446 1557264818 2325092892 2335897227 3114529636 4456428043 4671794454 8912856086 9106613827 9343588908 13369284129 17825712172 18213227654 26738568258 27319841481 36426455308 53477136516 54639682962 109279365924 209452118021 418904236042 628356354063 837808472084 1256712708126 2513425416252