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84478343040 = 27335713311733
BaseRepresentation
bin100111010101101001…
…1010011011110000000
322002001102220110202000
41032223103103132000
52341002423434130
6102450412024000
76050311032210
oct1165323233600
9262042813660
1084478343040
1132910905533
1214457762000
137c73b97c40
144135848240
1522e6730260
hex13ab4d3780

84478343040 has 1024 divisors, whose sum is σ = 380336947200. Its totient is φ = 17239080960.

The previous prime is 84478343021. The next prime is 84478343063. The reversal of 84478343040 is 4034387448.

84478343040 is a `hidden beast` number, since 84 + 478 + 34 + 30 + 40 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48746014 + ... + 48747746.

It is an arithmetic number, because the mean of its divisors is an integer number (371422800).

Almost surely, 284478343040 is an apocalyptic number.

84478343040 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 84478343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190168473600).

84478343040 is an abundant number, since it is smaller than the sum of its proper divisors (295858604160).

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

84478343040 is a wasteful number, since it uses less digits than its factorization.

84478343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 84478343040 in words is "eighty-four billion, four hundred seventy-eight million, three hundred forty-three thousand, forty".