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85481373219840 = 21033513377971613
BaseRepresentation
bin10011011011111010101110…
…111000101011110000000000
3102012122221100212121101112000
4103123322232320223300000
542201011323021013330
6501445333431504000
724001553054542503
oct2333725670536000
9365587325541460
1085481373219840
11252674a0762504
129706a42b28000
133890b2202c830
14171746b7b913a
159d3877877560
hex4dbeaee2bc00

85481373219840 has 1408 divisors, whose sum is σ = 336625598373120. Its totient is φ = 20434513821696.

The previous prime is 85481373219817. The next prime is 85481373219857. The reversal of 85481373219840 is 4891237318458.

85481373219840 is a `hidden beast` number, since 8 + 5 + 4 + 8 + 1 + 373 + 219 + 8 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52995270874 + ... + 52995272486.

Almost surely, 285481373219840 is an apocalyptic number.

85481373219840 is a gapful number since it is divisible by the number (80) 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 85481373219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168312799186560).

85481373219840 is an abundant number, since it is smaller than the sum of its proper divisors (251144225153280).

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

85481373219840 is a wasteful number, since it uses less digits than its factorization.

85481373219840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 85481373219840 in words is "eighty-five trillion, four hundred eighty-one billion, three hundred seventy-three million, two hundred nineteen thousand, eight hundred forty".