Search a number
-
+
53333628480 = 263251115710723
BaseRepresentation
bin110001101010111011…
…101001011001000000
312002122220122001012100
4301222323221121000
51333211402102410
640300124430400
73565441235136
oct615273513100
9162586561170
1053333628480
1120689496510
12a4053a8400
13504c5c7762
14281d381756
1515c238b8c0
hexc6aee9640

53333628480 has 336 divisors, whose sum is σ = 201415765824. Its totient is φ = 12845813760.

The previous prime is 53333628449. The next prime is 53333628493. The reversal of 53333628480 is 8482633335.

53333628480 is a `hidden beast` number, since 5 + 33 + 336 + 284 + 8 + 0 = 666.

It is a super-2 number, since 2×533336284802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 4968399 + ... + 4979121.

It is an arithmetic number, because the mean of its divisors is an integer number (599451684).

Almost surely, 253333628480 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 53333628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100707882912).

53333628480 is an abundant number, since it is smaller than the sum of its proper divisors (148082137344).

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

53333628480 is a wasteful number, since it uses less digits than its factorization.

53333628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10914 (or 10901 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 53333628480 in words is "fifty-three billion, three hundred thirty-three million, six hundred twenty-eight thousand, four hundred eighty".