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55983835488000 = 283537731141223
BaseRepresentation
bin11001011101010110000001…
…01000001001111100000000
321100020000001202022112012110
430232223000220021330000
524314214343341104000
6315022341410455320
714535461430021210
oct1456530050117400
9240200052275173
1055983835488000
111692467a701412
126342061294540
132531339bb9474
14db78bc680240
15671404957850
hex32eac0a09f00

55983835488000 has 576 divisors, whose sum is σ = 215425987725312. Its totient is φ = 12621002342400.

The previous prime is 55983835487963. The next prime is 55983835488017. The reversal of 55983835488000 is 88453838955.

It is a happy number.

55983835488000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48485389 + ... + 49626611.

It is an arithmetic number, because the mean of its divisors is an integer number (374003450912).

Almost surely, 255983835488000 is an apocalyptic number.

55983835488000 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 55983835488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107712993862656).

55983835488000 is an abundant number, since it is smaller than the sum of its proper divisors (159442152237312).

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

55983835488000 is a wasteful number, since it uses less digits than its factorization.

55983835488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141337 (or 1141313 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 66.

The spelling of 55983835488000 in words is "fifty-five trillion, nine hundred eighty-three billion, eight hundred thirty-five million, four hundred eighty-eight thousand".