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53239380480 = 29325112132113
BaseRepresentation
bin110001100101010100…
…000111101000000000
312002102100021202020200
4301211110013220000
51333013240133410
640242520405200
73563215160466
oct614524075000
9162370252220
1053239380480
1120640273600
12a399916800
135035c19100
142810a4a836
1515b8e713c0
hexc65507a00

53239380480 has 1080 divisors, whose sum is σ = 221400102924. Its totient is φ = 11808276480.

The previous prime is 53239380463. The next prime is 53239380487. The reversal of 53239380480 is 8408393235.

53239380480 is a `hidden beast` number, since 5 + 3 + 2 + 3 + 93 + 80 + 480 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 278784 + 53239101696 = 528^2 + 230736^2 .

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

It is not an unprimeable number, because it can be changed into a prime (53239380487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 471144904 + ... + 471145016.

Almost surely, 253239380480 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 53239380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110700051462).

53239380480 is an abundant number, since it is smaller than the sum of its proper divisors (168160722444).

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

53239380480 is a wasteful number, since it uses less digits than its factorization.

53239380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 147 counting only the distinct ones).

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

The spelling of 53239380480 in words is "fifty-three billion, two hundred thirty-nine million, three hundred eighty thousand, four hundred eighty".