Search a number
-
+
53441673600 = 27352721031103
BaseRepresentation
bin110001110001010111…
…110011100110000000
312002221102221022020110
4301301113303212000
51333422032023400
640314544311320
73601222505400
oct616127634600
9162842838213
1053441673600
11207344823a7
12a435612540
135068ac7093
14282d868800
1515cbacee50
hexc715f3980

53441673600 has 576 divisors, whose sum is σ = 206937469440. Its totient is φ = 12085678080.

The previous prime is 53441673553. The next prime is 53441673601. The reversal of 53441673600 is 637614435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53441673601) 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 71 ways as a sum of consecutive naturals, for example, 48450649 + ... + 48451751.

It is an arithmetic number, because the mean of its divisors is an integer number (359266440).

Almost surely, 253441673600 is an apocalyptic number.

53441673600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53441673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103468734720).

53441673600 is an abundant number, since it is smaller than the sum of its proper divisors (153495795840).

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

53441673600 is a wasteful number, since it uses less digits than its factorization.

53441673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 53441673600 in words is "fifty-three billion, four hundred forty-one million, six hundred seventy-three thousand, six hundred".