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54144190593 = 327382411249
BaseRepresentation
bin110010011011001111…
…101100100010000001
312011202101211212101100
4302123033230202001
51341341403044333
640512401525013
73624513012033
oct623317544201
9164671755340
1054144190593
1120a64a90859
12a5b0943769
13514b507ccc
142898c99c53
15161d5ed213
hexc9b3ec881

54144190593 has 12 divisors (see below), whose sum is σ = 79279622500. Its totient is φ = 35601659136.

The previous prime is 54144190591. The next prime is 54144190619. The reversal of 54144190593 is 39509144145.

54144190593 is a `hidden beast` number, since 5 + 4 + 1 + 44 + 19 + 0 + 593 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15199930944 + 38944259649 = 123288^2 + 197343^2 .

It is not a de Polignac number, because 54144190593 - 21 = 54144190591 is a prime.

It is a super-2 number, since 2×541441905932 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54144190591) 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 11 ways as a sum of consecutive naturals, for example, 41204968 + ... + 41206281.

Almost surely, 254144190593 is an apocalyptic number.

It is an amenable number.

54144190593 is a deficient number, since it is larger than the sum of its proper divisors (25135431907).

54144190593 is a wasteful number, since it uses less digits than its factorization.

54144190593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82411328 (or 82411325 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 54144190593 in words is "fifty-four billion, one hundred forty-four million, one hundred ninety thousand, five hundred ninety-three".

Divisors: 1 3 9 73 219 657 82411249 247233747 741701241 6016021177 18048063531 54144190593