Search a number
-
+
54483619680 = 253457600569
BaseRepresentation
bin110010101111011110…
…100000111101100000
312012122001112122120000
4302233132200331200
51343040301312210
641010205020000
73636104061150
oct625736407540
9165561478500
1054483619680
1121119645966
12a686554600
1351a392c819
1428cbdb4760
15163d2e9ac0
hexcaf7a0f60

54483619680 has 240 divisors, whose sum is σ = 219750965280. Its totient is φ = 12453378048.

The previous prime is 54483619669. The next prime is 54483619681. The reversal of 54483619680 is 8691638445.

54483619680 is a `hidden beast` number, since 5 + 448 + 3 + 6 + 196 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54483619681) 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 39 ways as a sum of consecutive naturals, for example, 209565 + ... + 391004.

It is an arithmetic number, because the mean of its divisors is an integer number (915629022).

Almost surely, 254483619680 is an apocalyptic number.

It is an amenable number.

54483619680 is an abundant number, since it is smaller than the sum of its proper divisors (165267345600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54483619680 is a wasteful number, since it uses less digits than its factorization.

54483619680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600603 (or 600586 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 54483619680 in words is "fifty-four billion, four hundred eighty-three million, six hundred nineteen thousand, six hundred eighty".