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45434035125 = 325340385809
BaseRepresentation
bin101010010100000101…
…000101101110110101
311100021101011010022200
4222110011011232311
51221022103111000
632512213015113
73165616632543
oct522405055665
9140241133280
1045434035125
11182a5368066
12897b924499
134390b0b26b
1422b0172d93
1512adac6500
hexa94145bb5

45434035125 has 24 divisors (see below), whose sum is σ = 81902422680. Its totient is φ = 24231484800.

The previous prime is 45434035121. The next prime is 45434035181. The reversal of 45434035125 is 52153043454.

45434035125 is a `hidden beast` number, since 4 + 543 + 40 + 3 + 51 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 348307569 + 45085727556 = 18663^2 + 212334^2 .

It is not a de Polignac number, because 45434035125 - 22 = 45434035121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45434035125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45434035121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20191780 + ... + 20194029.

It is an arithmetic number, because the mean of its divisors is an integer number (3412600945).

Almost surely, 245434035125 is an apocalyptic number.

45434035125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45434035125 is a deficient number, since it is larger than the sum of its proper divisors (36468387555).

45434035125 is a wasteful number, since it uses less digits than its factorization.

45434035125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40385830 (or 40385817 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 45434035125 its reverse (52153043454), we get a palindrome (97587078579).

The spelling of 45434035125 in words is "forty-five billion, four hundred thirty-four million, thirty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 40385809 121157427 201929045 363472281 605787135 1009645225 1817361405 3028935675 5048226125 9086807025 15144678375 45434035125