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5505446220144 = 2431319131227059
BaseRepresentation
bin101000000011101011000…
…1010101001000101110000
3201111022112000100111011220
41100013112022221011300
51210200123213021034
615413100031105040
71105520042513403
oct120072612510560
921438460314156
105505446220144
111832934956842
1274abaa972180
1330c213645cc0
14150672023d3a
159832154e749
hex501d62a9170

5505446220144 has 240 divisors, whose sum is σ = 16247174697600. Its totient is φ = 1592516989440.

The previous prime is 5505446220107. The next prime is 5505446220173. The reversal of 5505446220144 is 4410226445055.

It is a super-2 number, since 2×55054462201442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5505446220096 and 5505446220105.

It is a congruent 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, 203447287 + ... + 203474345.

It is an arithmetic number, because the mean of its divisors is an integer number (67696561240).

Almost surely, 25505446220144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5505446220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8123587348800).

5505446220144 is an abundant number, since it is smaller than the sum of its proper divisors (10741728477456).

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

5505446220144 is a wasteful number, since it uses less digits than its factorization.

5505446220144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27364 (or 27227 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 5505446220144 in words is "five trillion, five hundred five billion, four hundred forty-six million, two hundred twenty thousand, one hundred forty-four".