Search a number
-
+
54144520641 = 327976152631
BaseRepresentation
bin110010011011010000…
…111101000111000001
312011202102110122010100
4302123100331013001
51341341444130031
640512412553013
73624515555211
oct623320750701
9164672418110
1054144520641
1120a65196822
12a5b0a82769
13514b5c22c3
142898d44241
15161d665de6
hexc9b43d1c1

54144520641 has 12 divisors (see below), whose sum is σ = 79198737280. Its totient is φ = 35639430840.

The previous prime is 54144520613. The next prime is 54144520667. The reversal of 54144520641 is 14602544145.

54144520641 is a `hidden beast` number, since 5 + 4 + 1 + 4 + 4 + 5 + 2 + 0 + 641 = 666.

It is a de Polignac number, because none of the positive numbers 2k-54144520641 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54144520596 and 54144520605.

It is not an unprimeable number, because it can be changed into a prime (54144520691) 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, 38075605 + ... + 38077026.

Almost surely, 254144520641 is an apocalyptic number.

It is an amenable number.

54144520641 is a deficient number, since it is larger than the sum of its proper divisors (25054216639).

54144520641 is a wasteful number, since it uses less digits than its factorization.

54144520641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76152716 (or 76152713 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 54144520641 in words is "fifty-four billion, one hundred forty-four million, five hundred twenty thousand, six hundred forty-one".

Divisors: 1 3 9 79 237 711 76152631 228457893 685373679 6016057849 18048173547 54144520641