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445509526225 = 521334932
BaseRepresentation
bin1100111101110100110…
…11111110001011010001
31120120221022202211122011
412132322123332023101
524244400414314400
6540355251142521
744121066330331
oct6367233761321
91516838684564
10445509526225
11161a37570aa5
12724142a4a41
133301bc8b59a
14177c43870c1
15b8c6e328ba
hex67ba6fe2d1

445509526225 has 9 divisors (see below), whose sum is σ = 552435950833. Its totient is φ = 356404951120.

The previous prime is 445509526207. The next prime is 445509526229. The reversal of 445509526225 is 522625905544.

The square root of 445509526225 is 667465.

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

It can be written as a sum of positive squares in 4 ways, for example, as 25418881489 + 420090644736 = 159433^2 + 648144^2 .

It is not a de Polignac number, because 445509526225 - 25 = 445509526193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (445509526229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3270579 + ... + 3404071.

Almost surely, 2445509526225 is an apocalyptic number.

445509526225 is the 667465-th square number.

445509526225 is the 333733-rd centered octagonal number.

It is an amenable number.

445509526225 is a deficient number, since it is larger than the sum of its proper divisors (106926424608).

445509526225 is an frugal number, since it uses more digits than its factorization.

445509526225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266996 (or 133498 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 49.

Multiplying 445509526225 by its sum of digits (49), we get a square (21829966785025 = 46722552).

The spelling of 445509526225 in words is "four hundred forty-five billion, five hundred nine million, five hundred twenty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 133493 667465 3337325 17820381049 89101905245 445509526225