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55422432000 = 28325313113131
BaseRepresentation
bin110011100111011011…
…110011001100000000
312022001111002020221200
4303213123303030000
51402001120311000
641243303021200
74001263620255
oct634733631400
9168044066850
1055422432000
1121560577511
12a8a8a3a800
1352c3295280
14297a95542c
151695941500
hexce76f3300

55422432000 has 864 divisors, whose sum is σ = 218321078976. Its totient is φ = 13418496000.

The previous prime is 55422431993. The next prime is 55422432001. The reversal of 55422432000 is 23422455.

It is a happy number.

55422432000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55422432001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 423071935 + ... + 423072065.

It is an arithmetic number, because the mean of its divisors is an integer number (252686434).

Almost surely, 255422432000 is an apocalyptic number.

55422432000 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 55422432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109160539488).

55422432000 is an abundant number, since it is smaller than the sum of its proper divisors (162898646976).

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

55422432000 is a wasteful number, since it uses less digits than its factorization.

55422432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 55422432000 its reverse (23422455), we get a palindrome (55445854455).

The spelling of 55422432000 in words is "fifty-five billion, four hundred twenty-two million, four hundred thirty-two thousand".