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8635458118225 = 52732832972
BaseRepresentation
bin111110110101001100101…
…1010011110001001010001
31010120112121220221111100111
41331222121122132021101
52112440404234240400
630211024044521321
71550614462621231
oct175523132361121
933515556844314
108635458118225
11282a305a88874
12b75739550241
134a84216551c3
1421bd5bc01cc1
15ee964ba73ba
hex7da9969e251

8635458118225 has 81 divisors (see below), whose sum is σ = 11103498046323. Its totient is φ = 6662239856640.

The previous prime is 8635458118223. The next prime is 8635458118237. The reversal of 8635458118225 is 5228118545368.

It is a happy number.

The square root of 8635458118225 is 2938615.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5386711423041 + 3248746695184 = 2320929^2 + 1802428^2 .

It is not a de Polignac number, because 8635458118225 - 21 = 8635458118223 is a prime.

It is a super-2 number, since 2×86354581182252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8635458118225.

It is not an unprimeable number, because it can be changed into a prime (8635458118223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 89025341377 + ... + 89025341473.

Almost surely, 28635458118225 is an apocalyptic number.

8635458118225 is the 2938615-th square number.

8635458118225 is the 1469308-th centered octagonal number.

It is an amenable number.

8635458118225 is a deficient number, since it is larger than the sum of its proper divisors (2468039928098).

8635458118225 is an frugal number, since it uses more digits than its factorization.

8635458118225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 258 counting only the distinct ones).

The product of its digits is 18432000, while the sum is 58.

The spelling of 8635458118225 in words is "eight trillion, six hundred thirty-five billion, four hundred fifty-eight million, one hundred eighteen thousand, two hundred twenty-five".

Divisors: 1 5 25 73 83 97 365 415 485 1825 2075 2425 5329 6059 6889 7081 8051 9409 26645 30295 34445 35405 40255 47045 133225 151475 172225 177025 201275 235225 442307 502897 516913 587723 668233 686857 780947 2211535 2514485 2584565 2938615 3341165 3434285 3904735 11057675 12572425 12922825 14693075 16705825 17171425 19523675 36711481 42903779 48781009 50140561 57009131 64818601 183557405 214518895 243905045 250702805 285045655 324093005 917787025 1072594475 1219525225 1253514025 1425228275 1620465025 3561013657 4161666563 4731757873 17805068285 20808332815 23658789365 89025341425 104041664075 118293946825 345418324729 1727091623645 8635458118225