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1938900000 = 2535523281
BaseRepresentation
bin111001110010001…
…0100010000100000
312000010101022210010
41303210110100200
512432324300000
6520221204520
766022243452
oct16344242040
95003338703
101938900000
119055052a4
12461400740
1324b90380b
141457122d2
15b5343d50
hex73914420

1938900000 has 288 divisors, whose sum is σ = 6661823616. Its totient is φ = 492800000.

The previous prime is 1938899999. The next prime is 1938900001. The reversal of 1938900000 is 98391.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1938899999) and next prime (1938900001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1938900001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6899860 + ... + 6900140.

It is an arithmetic number, because the mean of its divisors is an integer number (23131332).

Almost surely, 21938900000 is an apocalyptic number.

1938900000 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 1938900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330911808).

1938900000 is an abundant number, since it is smaller than the sum of its proper divisors (4722923616).

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

1938900000 is an equidigital number, since it uses as much as digits as its factorization.

1938900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 1938900000 is about 44032.9422137563. The cubic root of 1938900000 is about 1246.9579360164.

Adding to 1938900000 its reverse (98391), we get a palindrome (1938998391).

The spelling of 1938900000 in words is "one billion, nine hundred thirty-eight million, nine hundred thousand".