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54208900000 = 255519103277
BaseRepresentation
bin110010011111000110…
…100010101110100000
312011220220121110000001
4302133012202232200
51342004434300000
640523032505344
73626230022143
oct623706425640
9164826543001
1054208900000
1120a98568a02
12a60a54b254
13515ba436b8
1428a370205a
15162413146a
hexc9f1a2ba0

54208900000 has 288 divisors, whose sum is σ = 142292142720. Its totient is φ = 20269440000.

The previous prime is 54208899973. The next prime is 54208900051. The reversal of 54208900000 is 980245.

It is a happy number.

It is an unprimeable number.

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, 195699862 + ... + 195700138.

It is an arithmetic number, because the mean of its divisors is an integer number (494069940).

Almost surely, 254208900000 is an apocalyptic number.

54208900000 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 54208900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71146071360).

54208900000 is an abundant number, since it is smaller than the sum of its proper divisors (88083242720).

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

54208900000 is a wasteful number, since it uses less digits than its factorization.

54208900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 54208900000 in words is "fifty-four billion, two hundred eight million, nine hundred thousand".