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55323316224 = 212351131163
BaseRepresentation
bin110011100001100001…
…101101000000000000
312021210120120122200000
4303201201231000000
51401300232104344
641225402400000
73665651300061
oct634141550000
9167716518600
1055323316224
112150a62a350
12a87b800000
1352a88a1097
14296b714568
15168bdb3a69
hexce186d000

55323316224 has 624 divisors, whose sum is σ = 187764455424. Its totient is φ = 16124313600.

The previous prime is 55323316219. The next prime is 55323316331. The reversal of 55323316224 is 42261332355.

55323316224 is a `hidden beast` number, since 5 + 5 + 3 + 23 + 3 + 1 + 622 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339406767 + ... + 339406929.

It is an arithmetic number, because the mean of its divisors is an integer number (300904576).

Almost surely, 255323316224 is an apocalyptic number.

55323316224 is a gapful number since it is divisible by the number (54) 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 55323316224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93882227712).

55323316224 is an abundant number, since it is smaller than the sum of its proper divisors (132441139200).

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

55323316224 is a wasteful number, since it uses less digits than its factorization.

55323316224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 210 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

Adding to 55323316224 its reverse (42261332355), we get a palindrome (97584648579).

The spelling of 55323316224 in words is "fifty-five billion, three hundred twenty-three million, three hundred sixteen thousand, two hundred twenty-four".