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55030098816 = 27387112337
BaseRepresentation
bin110011010000000011…
…001010101110000000
312021001010211200000000
4303100003022232000
51400200201130231
641140330000000
73655461056610
oct632003125600
9167033750000
1055030098816
112137a068810
12a7b9576000
13525cc09564
1429407c8a40
1516712946e6
hexcd00cab80

55030098816 has 1152 divisors, whose sum is σ = 219707804160. Its totient is φ = 13302558720.

The previous prime is 55030098811. The next prime is 55030098833. The reversal of 55030098816 is 61889003055.

55030098816 is a `hidden beast` number, since 550 + 3 + 0 + 0 + 9 + 88 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55030098811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1487299950 + ... + 1487299986.

It is an arithmetic number, because the mean of its divisors is an integer number (190718580).

Almost surely, 255030098816 is an apocalyptic number.

55030098816 is a gapful number since it is divisible by the number (56) 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 55030098816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109853902080).

55030098816 is an abundant number, since it is smaller than the sum of its proper divisors (164677705344).

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

55030098816 is an equidigital number, since it uses as much as digits as its factorization.

55030098816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 55030098816 in words is "fifty-five billion, thirty million, ninety-eight thousand, eight hundred sixteen".