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5427319040000 = 211541113149199
BaseRepresentation
bin100111011111010010101…
…1011000110100000000000
3201012211212012021112001022
41032332211123012200000
51202410122133240000
615313135334325012
71100053011446114
oct116764533064000
921184765245038
105427319040000
111802793120a70
12737a261b9768
13304a42519420
1414a97dcb9744
159629c6c0585
hex4efa56c6800

5427319040000 has 960 divisors, whose sum is σ = 16118902800000. Its totient is φ = 1800437760000.

The previous prime is 5427319039999. The next prime is 5427319040123. The reversal of 5427319040000 is 409137245.

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 79 ways as a sum of consecutive naturals, for example, 27272959901 + ... + 27272960099.

It is an arithmetic number, because the mean of its divisors is an integer number (16790523750).

Almost surely, 25427319040000 is an apocalyptic number.

5427319040000 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 5427319040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8059451400000).

5427319040000 is an abundant number, since it is smaller than the sum of its proper divisors (10691583760000).

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

5427319040000 is a wasteful number, since it uses less digits than its factorization.

5427319040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 5427319040000 in words is "five trillion, four hundred twenty-seven billion, three hundred nineteen million, forty thousand".