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194400000000 = 2113558
BaseRepresentation
bin1011010100001100100…
…1001001100000000000
3200120210001220012200000
42311003021021200000
511141112400000000
6225150042400000
720021261510253
oct2650311114000
9616701805600
10194400000000
1175498806328
1231814200000
13154410949cb
1495a247709a
1550cba00000
hex2d43249800

194400000000 has 648 divisors, whose sum is σ = 727821892980. Its totient is φ = 51840000000.

The previous prime is 194399999939. The next prime is 194400000001. The reversal of 194400000000 is 4491.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194400000001) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 38879999998 + ... + 38880000002.

Almost surely, 2194400000000 is an apocalyptic number.

194400000000 is a gapful number since it is divisible by the number (10) 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 194400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363910946490).

194400000000 is an abundant number, since it is smaller than the sum of its proper divisors (533421892980).

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

194400000000 is an frugal number, since it uses more digits than its factorization.

194400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 194400000000 its reverse (4491), we get a palindrome (194400004491).

The spelling of 194400000000 in words is "one hundred ninety-four billion, four hundred million", and thus it is an aban number.