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5484613295616 = 293721319312307
BaseRepresentation
bin100111111001111110001…
…1011010101111000000000
3201102022202010112021021120
41033303330123111320000
51204324442000424431
615355332505152240
71104151554544200
oct117637433257000
921368663467246
105484613295616
111825014249244
12746b55a8b680
1330a27352b320
1414d657282400
1597a02606196
hex4fcfc6d5e00

5484613295616 has 1440 divisors, whose sum is σ = 19974157822080. Its totient is φ = 1321835397120.

The previous prime is 5484613295611. The next prime is 5484613295617. The reversal of 5484613295616 is 6165923164845.

It is a self number, because there is not a number n which added to its sum of digits gives 5484613295616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5484613295611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17865189735 + ... + 17865190041.

It is an arithmetic number, because the mean of its divisors is an integer number (13870942932).

Almost surely, 25484613295616 is an apocalyptic number.

5484613295616 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 5484613295616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9987078911040).

5484613295616 is an abundant number, since it is smaller than the sum of its proper divisors (14489544526464).

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

5484613295616 is a wasteful number, since it uses less digits than its factorization.

5484613295616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 382 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 60.

The spelling of 5484613295616 in words is "five trillion, four hundred eighty-four billion, six hundred thirteen million, two hundred ninety-five thousand, six hundred sixteen".