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41488393969 = 112185172
BaseRepresentation
bin100110101000111001…
…101010011011110001
310222002101201210012001
4212220321222123301
51134432012101334
631020504134001
72666056346551
oct465071523361
9128071653161
1041488393969
1116660131500
12805a467301
133bb253cc59
14201812d161
15112c4dc714
hex9a8e6a6f1

41488393969 has 9 divisors (see below), whose sum is σ = 45605408331. Its totient is φ = 37714684920.

The previous prime is 41488393951. The next prime is 41488393981. The reversal of 41488393969 is 96939388414.

The square root of 41488393969 is 203687.

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

It can be written as a sum of positive squares in only one way, i.e., 11632701025 + 29855692944 = 107855^2 + 172788^2 .

It is not a de Polignac number, because 41488393969 - 27 = 41488393841 is a prime.

It is a super-2 number, since 2×414883939692 (a number of 22 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 41488393969.

It is not an unprimeable number, because it can be changed into a prime (41488390969) 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 8 ways as a sum of consecutive naturals, for example, 2231299 + ... + 2249815.

Almost surely, 241488393969 is an apocalyptic number.

41488393969 is the 203687-th square number.

41488393969 is the 101844-th centered octagonal number.

It is an amenable number.

41488393969 is a deficient number, since it is larger than the sum of its proper divisors (4117014362).

41488393969 is an frugal number, since it uses more digits than its factorization.

41488393969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37056 (or 18528 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 64.

Multiplying 41488393969 by its sum of digits (64), we get a square (2655257214016 = 16294962).

The spelling of 41488393969 in words is "forty-one billion, four hundred eighty-eight million, three hundred ninety-three thousand, nine hundred sixty-nine".

Divisors: 1 11 121 18517 203687 2240557 342879289 3771672179 41488393969