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53432330240 = 211561113757
BaseRepresentation
bin110001110000110100…
…001010100000000000
312002220210100121120002
4301300310022200000
51333412134031430
640314012135132
73601050212312
oct616064124000
9162823317502
1053432330240
112072a180613
12a4324674a8
135066ba5373
14282c5157b2
1515cad86845
hexc70d0a800

53432330240 has 192 divisors, whose sum is σ = 131634856080. Its totient is φ = 20808990720.

The previous prime is 53432330227. The next prime is 53432330243. The reversal of 53432330240 is 4203323435.

It can be written as a sum of positive squares in 8 ways, for example, as 1126810624 + 52305519616 = 33568^2 + 228704^2 .

It is not an unprimeable number, because it can be changed into a prime (53432330243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70583942 + ... + 70584698.

Almost surely, 253432330240 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 53432330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65817428040).

53432330240 is an abundant number, since it is smaller than the sum of its proper divisors (78202525840).

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

53432330240 is a wasteful number, since it uses less digits than its factorization.

53432330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 29.

Adding to 53432330240 its reverse (4203323435), we get a palindrome (57635653675).

The spelling of 53432330240 in words is "fifty-three billion, four hundred thirty-two million, three hundred thirty thousand, two hundred forty".