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55244354400 = 25335219227593
BaseRepresentation
bin110011011100110100…
…011111001101100000
312021121001222222102000
4303130310133031200
51401120023320100
641213502124000
73664002156504
oct633464371540
9167531888360
1055244354400
1121479aa8144
12a859280600
135295415401
14296103c304
151684eb7900
hexcdcd1f360

55244354400 has 576 divisors, whose sum is σ = 211598956800. Its totient is φ = 13871554560.

The previous prime is 55244354353. The next prime is 55244354411. The reversal of 55244354400 is 445344255.

55244354400 is a `hidden beast` number, since 5 + 5 + 244 + 3 + 5 + 4 + 400 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93160504 + ... + 93161096.

It is an arithmetic number, because the mean of its divisors is an integer number (367359300).

Almost surely, 255244354400 is an apocalyptic number.

55244354400 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 55244354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105799478400).

55244354400 is an abundant number, since it is smaller than the sum of its proper divisors (156354602400).

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

55244354400 is a wasteful number, since it uses less digits than its factorization.

55244354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 55244354400 its reverse (445344255), we get a palindrome (55689698655).

The spelling of 55244354400 in words is "fifty-five billion, two hundred forty-four million, three hundred fifty-four thousand, four hundred".