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5485470144000 = 29353711289379
BaseRepresentation
bin100111111010010111101…
…1111111101011000000000
3201102101221211211200021220
41033310233133331120000
51204333220324102000
615355553514315040
71104212030620350
oct117645737753000
921371854750256
105485470144000
111825413988100
12747154a28a80
1330a37bbc67c2
1414d6d8da8b60
1597a5295c1a0
hex4fd2f7fd600

5485470144000 has 1920 divisors, whose sum is σ = 23228863257600. Its totient is φ = 1124057088000.

The previous prime is 5485470143963. The next prime is 5485470144029. The reversal of 5485470144000 is 4410745845.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14473535811 + ... + 14473536189.

It is an arithmetic number, because the mean of its divisors is an integer number (12098366280).

Almost surely, 25485470144000 is an apocalyptic number.

5485470144000 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 5485470144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11614431628800).

5485470144000 is an abundant number, since it is smaller than the sum of its proper divisors (17743393113600).

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

5485470144000 is a wasteful number, since it uses less digits than its factorization.

5485470144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 42.

Adding to 5485470144000 its reverse (4410745845), we get a palindrome (5489880889845).

The spelling of 5485470144000 in words is "five trillion, four hundred eighty-five billion, four hundred seventy million, one hundred forty-four thousand".