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55335132000 = 2532532953003
BaseRepresentation
bin110011100010001110…
…110001101101100000
312021211101210221212100
4303202032301231200
51401311243211000
641230503530400
73666153601311
oct634216615540
9167741727770
1055335132000
112151626a755
12a883759a00
1352ab17a275
14296d10c608
15168ce49a00
hexce23b1b60

55335132000 has 288 divisors, whose sum is σ = 203160091680. Its totient is φ = 14246937600.

The previous prime is 55335131989. The next prime is 55335132007. The reversal of 55335132000 is 23153355.

55335132000 is a `hidden beast` number, since 5 + 5 + 335 + 1 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55335132007) 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 47 ways as a sum of consecutive naturals, for example, 1017499 + ... + 1070501.

It is an arithmetic number, because the mean of its divisors is an integer number (705416985).

Almost surely, 255335132000 is an apocalyptic number.

55335132000 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 55335132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101580045840).

55335132000 is an abundant number, since it is smaller than the sum of its proper divisors (147824959680).

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

55335132000 is a wasteful number, since it uses less digits than its factorization.

55335132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53063 (or 53042 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

Adding to 55335132000 its reverse (23153355), we get a palindrome (55358285355).

The spelling of 55335132000 in words is "fifty-five billion, three hundred thirty-five million, one hundred thirty-two thousand".