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45125230329 = 34236032
BaseRepresentation
bin101010000001101011…
…000101111011111001
311022110212002012210000
4222001223011323321
51214404024332304
632421422143213
73155150062164
oct520153057371
9138425065700
1045125230329
111815701a493
1288b4421b09
134341b4992a
14228114aadb
151291928939
hexa81ac5ef9

45125230329 has 15 divisors (see below), whose sum is σ = 67412150773. Its totient is φ = 30082212324.

The previous prime is 45125230327. The next prime is 45125230343. The reversal of 45125230329 is 92303252154.

The square root of 45125230329 is 212427.

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

45125230329 is a `hidden beast` number, since 4 + 51 + 252 + 30 + 329 = 666.

It is not a de Polignac number, because 45125230329 - 21 = 45125230327 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45125230293 and 45125230302.

It is not an unprimeable number, because it can be changed into a prime (45125230327) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 1900042 + ... + 1923644.

Almost surely, 245125230329 is an apocalyptic number.

45125230329 is the 212427-th square number.

45125230329 is the 106214-th centered octagonal number.

It is an amenable number.

45125230329 is a deficient number, since it is larger than the sum of its proper divisors (22286920444).

45125230329 is an frugal number, since it uses more digits than its factorization.

45125230329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47218 (or 23606 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 45125230329 by its sum of digits (36), we get a square (1624508291844 = 12745622).

The spelling of 45125230329 in words is "forty-five billion, one hundred twenty-five million, two hundred thirty thousand, three hundred twenty-nine".

Divisors: 1 3 9 27 81 23603 70809 212427 637281 1911843 557101609 1671304827 5013914481 15041743443 45125230329