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3985422000000 = 273567313061
BaseRepresentation
bin111001111111101101101…
…010011001111110000000
3112010000001220121120102020
4321333231222121332000
51010244121013000000
612250513320521440
7560636321024310
oct71775552317600
915100056546366
103985422000000
1112a7231901491
12544499920280
1322ba9282482c
14dac771a9440
156da0b252ba0
hex39feda99f80

3985422000000 has 896 divisors, whose sum is σ = 15616000112640. Its totient is φ = 881280000000.

The previous prime is 3985421999929. The next prime is 3985422000047. The reversal of 3985422000000 is 2245893.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1301998470 + ... + 1302001530.

Almost surely, 23985422000000 is an apocalyptic number.

3985422000000 is a gapful number since it is divisible by the number (30) 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 3985422000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7808000056320).

3985422000000 is an abundant number, since it is smaller than the sum of its proper divisors (11630578112640).

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

3985422000000 is an frugal number, since it uses more digits than its factorization.

3985422000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 3985422000000 its reverse (2245893), we get a palindrome (3985424245893).

The spelling of 3985422000000 in words is "three trillion, nine hundred eighty-five billion, four hundred twenty-two million", and thus it is an aban number.