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5486745600000 = 214375572
BaseRepresentation
bin100111111010111101110…
…0001011100000000000000
3201102112020201211120000000
41033311323201130000000
51204343323333200000
615400324240000000
71104255446045100
oct117657341340000
921375221746000
105486745600000
111825a08941075
12747450000000
1330a523219cb2
1414d7ba53b200
1597ac9900000
hex4fd7b85c000

5486745600000 has 2160 divisors, whose sum is σ = 23928618157920. Its totient is φ = 1254113280000.

The previous prime is 5486745599999. The next prime is 5486745600059. The reversal of 5486745600000 is 65476845.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5486745600000 is a `hidden beast` number, since 5 + 4 + 86 + 7 + 4 + 560 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 783820799997 + ... + 783820800003.

It is an arithmetic number, because the mean of its divisors is an integer number (11078063962).

Almost surely, 25486745600000 is an apocalyptic number.

5486745600000 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 5486745600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11964309078960).

5486745600000 is an abundant number, since it is smaller than the sum of its proper divisors (18441872557920).

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

5486745600000 is an frugal number, since it uses more digits than its factorization.

5486745600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5486745600000 in words is "five trillion, four hundred eighty-six billion, seven hundred forty-five million, six hundred thousand".