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5484430892096 = 26131729109241509
BaseRepresentation
bin100111111001111000110…
…0011100001110001000000
3201102022021102022012200122
41033303301203201301000
51204324103302021341
615355302431435412
71104144211255412
oct117636143416100
921368242265618
105484430892096
111824a30294832
12746b04985b68
1330a2447c5450
1414d63ad609b2
15979e15c594b
hex4fcf18e1c40

5484430892096 has 448 divisors, whose sum is σ = 13034781144000. Its totient is φ = 2265207275520.

The previous prime is 5484430892077. The next prime is 5484430892131. The reversal of 5484430892096 is 6902980344845.

It can be written as a sum of positive squares in 32 ways, for example, as 904659690496 + 4579771201600 = 951136^2 + 2140040^2 .

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, 10774913090 + ... + 10774913598.

It is an arithmetic number, because the mean of its divisors is an integer number (29095493625).

Almost surely, 25484430892096 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 5484430892096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517390572000).

5484430892096 is an abundant number, since it is smaller than the sum of its proper divisors (7550350251904).

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

5484430892096 is a wasteful number, since it uses less digits than its factorization.

5484430892096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 62.

The spelling of 5484430892096 in words is "five trillion, four hundred eighty-four billion, four hundred thirty million, eight hundred ninety-two thousand, ninety-six".