Search a number
-
+
53196484320 = 2534571722029
BaseRepresentation
bin110001100010110000…
…011110111011100000
312002022100120101210000
4301202300132323200
51332421244444240
640234345140000
73562154441010
oct614260367340
9162270511700
1053196484320
1120619035031
12a38748a600
13502a07a275
142809081c40
1515b52eb430
hexc62c1eee0

53196484320 has 720 divisors, whose sum is σ = 228035031840. Its totient is φ = 11438309376.

The previous prime is 53196484291. The next prime is 53196484321. The reversal of 53196484320 is 2348469135.

53196484320 is a `hidden beast` number, since 5 + 319 + 6 + 4 + 8 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53196484321) 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 119 ways as a sum of consecutive naturals, for example, 26217066 + ... + 26219094.

It is an arithmetic number, because the mean of its divisors is an integer number (316715322).

Almost surely, 253196484320 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 53196484320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114017515920).

53196484320 is an abundant number, since it is smaller than the sum of its proper divisors (174838547520).

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

53196484320 is a wasteful number, since it uses less digits than its factorization.

53196484320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 53196484320 in words is "fifty-three billion, one hundred ninety-six million, four hundred eighty-four thousand, three hundred twenty".