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5022596443225 = 525927121072
BaseRepresentation
bin100100100010110101000…
…0100111010110001011001
3122210011012101022101011211
41021011222010322301121
51124242234142140400
614403203212423121
71025604423234304
oct111055204726131
918704171271154
105022596443225
111667086831829
126914b5477aa1
132a5823667c2a
14135148825b3b
158a9b13b8dba
hex4916a13ac59

5022596443225 has 81 divisors (see below), whose sum is σ = 6486471684511. Its totient is φ = 3857945005600.

The previous prime is 5022596443187. The next prime is 5022596443247. The reversal of 5022596443225 is 5223446952205.

The square root of 5022596443225 is 2241115.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1808134719561 + 3214461723664 = 1344669^2 + 1792892^2 .

It is not a de Polignac number, because 5022596443225 - 29 = 5022596442713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 46940153622 + ... + 46940153728.

Almost surely, 25022596443225 is an apocalyptic number.

5022596443225 is the 2241115-th square number.

5022596443225 is the 1120558-th centered octagonal number.

It is an amenable number.

5022596443225 is a deficient number, since it is larger than the sum of its proper divisors (1463875241286).

5022596443225 is an frugal number, since it uses more digits than its factorization.

5022596443225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 49.

Multiplying 5022596443225 by its sum of digits (49), we get a square (246107225718025 = 156878052).

The spelling of 5022596443225 in words is "five trillion, twenty-two billion, five hundred ninety-six million, four hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 59 71 107 295 355 535 1475 1775 2675 3481 4189 5041 6313 7597 11449 17405 20945 25205 31565 37985 57245 87025 104725 126025 157825 189925 247151 286225 297419 372467 448223 539387 675491 812879 1235755 1487095 1862335 2241115 2696935 3377455 4064395 6178775 7435475 9311675 11205575 13484675 16887275 17547721 20321975 26445157 31823833 39853969 47959861 57714409 87738605 132225785 159119165 199269845 239799305 288572045 438693025 661128925 795595825 996349225 1198996525 1442860225 1877606147 2829631799 3405150131 9388030735 14148158995 17025750655 46940153675 70740794975 85128753275 200903857729 1004519288645 5022596443225