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84194353152 = 213337134789
BaseRepresentation
bin100111001101001011…
…1111110000000000000
322001022122112021212000
41032122113332000000
52334412223300102
6102402305104000
76040262123310
oct1163227760000
9261278467760
1084194353152
1132785576748
1214398628000
137c2a0b44a0
144109c41440
1522cb83501c
hex139a5fe000

84194353152 has 896 divisors, whose sum is σ = 317070028800. Its totient is φ = 21488467968.

The previous prime is 84194353129. The next prime is 84194353171. The reversal of 84194353152 is 25135349148.

It is a tau number, because it is divible by the number of its divisors (896).

It is a junction number, because it is equal to n+sod(n) for n = 84194353098 and 84194353107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 946003924 + ... + 946004012.

It is an arithmetic number, because the mean of its divisors is an integer number (353872800).

Almost surely, 284194353152 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 84194353152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158535014400).

84194353152 is an abundant number, since it is smaller than the sum of its proper divisors (232875675648).

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

84194353152 is a wasteful number, since it uses less digits than its factorization.

84194353152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 161 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 84194353152 in words is "eighty-four billion, one hundred ninety-four million, three hundred fifty-three thousand, one hundred fifty-two".