Search a number
-
+
53933236448 = 25713195211871
BaseRepresentation
bin110010001110101010…
…111110000011100000
312011012200220021200212
4302032222332003200
51340423402031243
640435424233252
73616341642260
oct621652760340
9164180807625
1053933236448
11209669a6893
12a55216b828
1351168b6a80
142878c657a0
151609d2d318
hexc8eabe0e0

53933236448 has 192 divisors, whose sum is σ = 137900206080. Its totient is φ = 20163686400.

The previous prime is 53933236433. The next prime is 53933236477. The reversal of 53933236448 is 84463233935.

It is a junction number, because it is equal to n+sod(n) for n = 53933236396 and 53933236405.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 28824953 + ... + 28826823.

It is an arithmetic number, because the mean of its divisors is an integer number (718230240).

Almost surely, 253933236448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53933236448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68950103040).

53933236448 is an abundant number, since it is smaller than the sum of its proper divisors (83966969632).

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

53933236448 is a wasteful number, since it uses less digits than its factorization.

53933236448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2433 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 50.

The spelling of 53933236448 in words is "fifty-three billion, nine hundred thirty-three million, two hundred thirty-six thousand, four hundred forty-eight".