Search a number
-
+
54009617769 = 3244913365409
BaseRepresentation
bin110010010011001110…
…010101110101101001
312011102000121212011200
4302103032111311221
51341102430232034
640451153314413
73621260114322
oct622316256551
9164360555150
1054009617769
11209a6026248
12a573865a09
13512967b013
142885069449
1516118b9a99
hexc93395d69

54009617769 has 12 divisors (see below), whose sum is σ = 78187648500. Its totient is φ = 35926216704.

The previous prime is 54009617749. The next prime is 54009617771. The reversal of 54009617769 is 96771690045.

54009617769 is a `hidden beast` number, since 5 + 400 + 9 + 6 + 177 + 69 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25453011600 + 28556606169 = 159540^2 + 168987^2 .

It is not a de Polignac number, because 54009617769 - 25 = 54009617737 is a prime.

It is a super-2 number, since 2×540096177692 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (54009617749) 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 11 ways as a sum of consecutive naturals, for example, 6678664 + ... + 6686745.

It is an arithmetic number, because the mean of its divisors is an integer number (6515637375).

Almost surely, 254009617769 is an apocalyptic number.

It is an amenable number.

54009617769 is a deficient number, since it is larger than the sum of its proper divisors (24178030731).

54009617769 is a wasteful number, since it uses less digits than its factorization.

54009617769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13365864 (or 13365861 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 54009617769 in words is "fifty-four billion, nine million, six hundred seventeen thousand, seven hundred sixty-nine".

Divisors: 1 3 9 449 1347 4041 13365409 40096227 120288681 6001068641 18003205923 54009617769