Search a number
-
+
5582469425625 = 3454105012
BaseRepresentation
bin101000100111100010100…
…0110110110100111011001
3201202200022220002201210000
41101033011012312213121
51212430344133110000
615512315005443213
71114214540121651
oct121170506664731
921680286081700
105582469425625
11186256a502064
12761b05870509
13316569b2ca31
1415429b6b7361
159a32d510000
hex513c51b69d9

5582469425625 has 75 divisors (see below), whose sum is σ = 10421712315003. Its totient is φ = 2977033500000.

The previous prime is 5582469425623. The next prime is 5582469425639. The reversal of 5582469425625 is 5265249642855.

The square root of 5582469425625 is 2362725.

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

5582469425625 is a `hidden beast` number, since 5 + 5 + 8 + 2 + 4 + 69 + 4 + 2 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 5126406920649 + 456062504976 = 2264157^2 + 675324^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 5582469425625 - 21 = 5582469425623 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5582469425623) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 531607875 + ... + 531618375.

Almost surely, 25582469425625 is an apocalyptic number.

5582469425625 is the 2362725-th square number.

5582469425625 is the 1181363-rd centered octagonal number.

It is an amenable number.

5582469425625 is a deficient number, since it is larger than the sum of its proper divisors (4839242889378).

5582469425625 is an frugal number, since it uses more digits than its factorization.

5582469425625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21034 (or 10509 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 63.

The spelling of 5582469425625 in words is "five trillion, five hundred eighty-two billion, four hundred sixty-nine million, four hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 625 675 1125 1875 2025 3375 5625 10125 10501 16875 31503 50625 52505 94509 157515 262525 283527 472545 787575 850581 1312625 1417635 2362725 3937875 4252905 6563125 7088175 11813625 19689375 21264525 35440875 59068125 106322625 110271001 177204375 330813003 531613125 551355005 992439009 1654065015 2756775025 2977317027 4962195045 8270325075 8931951081 13783875125 14886585135 24810975225 41351625375 44659755405 68919375625 74432925675 124054876125 206758126875 223298777025 372164628375 620274380625 1116493885125 1860823141875 5582469425625