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5421339528480 = 25325317103311497
BaseRepresentation
bin100111011100100000100…
…0001000100110100100000
3201012021102110202212021200
41032321001001010310200
51202310400404402410
615310310132521200
71066451563442661
oct116710101046440
921167373685250
105421339528480
1118001a4914507
12736837780200
133042cb775225
1414a573ac1368
159604c7833c0
hex4ee41044d20

5421339528480 has 288 divisors, whose sum is σ = 18578263367664. Its totient is φ = 1439609683968.

The previous prime is 5421339528433. The next prime is 5421339528529. The reversal of 5421339528480 is 848259331245.

5421339528480 is a `hidden beast` number, since 5 + 4 + 2 + 1 + 3 + 39 + 528 + 4 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2739435455376 + 2681904073104 = 1655124^2 + 1637652^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×54213395284802 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471538092 + ... + 471549588.

Almost surely, 25421339528480 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 5421339528480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9289131683832).

5421339528480 is an abundant number, since it is smaller than the sum of its proper divisors (13156923839184).

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

5421339528480 is a wasteful number, since it uses less digits than its factorization.

5421339528480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12868 (or 12857 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 5421339528480 in words is "five trillion, four hundred twenty-one billion, three hundred thirty-nine million, five hundred twenty-eight thousand, four hundred eighty".