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84448204344 = 23347173135327
BaseRepresentation
bin100111010100110000…
…0010101011000111000
322001222100012021020000
41032221200111120320
52340422220014334
6102443414033000
76046463615250
oct1165140253070
9261870167200
1084448204344
11328a589a919
1214449648760
137c6a874aaa
144131840960
1522e3c7a299
hex13a9815638

84448204344 has 320 divisors, whose sum is σ = 295466434560. Its totient is φ = 21975598080.

The previous prime is 84448204343. The next prime is 84448204349. The reversal of 84448204344 is 44340284448.

It is a self number, because there is not a number n which added to its sum of digits gives 84448204344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84448204343) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2372809 + ... + 2408135.

It is an arithmetic number, because the mean of its divisors is an integer number (923332608).

Almost surely, 284448204344 is an apocalyptic number.

84448204344 is a gapful number since it is divisible by the number (84) 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 84448204344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147733217280).

84448204344 is an abundant number, since it is smaller than the sum of its proper divisors (211018230216).

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

84448204344 is a wasteful number, since it uses less digits than its factorization.

84448204344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35400 (or 35387 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 45.

The spelling of 84448204344 in words is "eighty-four billion, four hundred forty-eight million, two hundred four thousand, three hundred forty-four".