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4189388112 = 24327133110313
BaseRepresentation
bin1111100110110100…
…1111110101010000
3101210222001222002200
43321231033311100
532034440404422
61531413043200
7205550132340
oct37155176520
911728058080
104189388112
11185a889328
1298b026500
13519c317a0
142ba572d20
15197bd52ac
hexf9b4fd50

4189388112 has 240 divisors, whose sum is σ = 14897046528. Its totient is φ = 1069148160.

The previous prime is 4189388101. The next prime is 4189388131. The reversal of 4189388112 is 2118839814.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401068 + ... + 411380.

Almost surely, 24189388112 is an apocalyptic number.

4189388112 is a gapful number since it is divisible by the number (42) 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 4189388112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7448523264).

4189388112 is an abundant number, since it is smaller than the sum of its proper divisors (10707658416).

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

4189388112 is a wasteful number, since it uses less digits than its factorization.

4189388112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10378 (or 10369 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 4189388112 is about 64725.4827096716. The cubic root of 4189388112 is about 1612.0686488548.

The spelling of 4189388112 in words is "four billion, one hundred eighty-nine million, three hundred eighty-eight thousand, one hundred twelve".