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4932000000 = 283256137
BaseRepresentation
bin1001001011111100…
…00101100100000000
3110201201102120002200
410211332011210000
540100043000000
62133221513200
7233135210514
oct44576054400
913651376080
104932000000
112100a92664
12b57872800
13607a404c5
1434b040144
151dcec3500
hex125f85900

4932000000 has 378 divisors, whose sum is σ = 17904731754. Its totient is φ = 1305600000.

The previous prime is 4931999981. The next prime is 4932000011. The reversal of 4932000000 is 2394.

It can be written as a sum of positive squares in 7 ways, for example, as 4931410176 + 589824 = 70224^2 + 768^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 35999932 + ... + 36000068.

Almost surely, 24932000000 is an apocalyptic number.

4932000000 is a gapful number since it is divisible by the number (40) 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 4932000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8952365877).

4932000000 is an abundant number, since it is smaller than the sum of its proper divisors (12972731754).

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

4932000000 is an frugal number, since it uses more digits than its factorization.

4932000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 4932000000 is about 70228.1994643178. The cubic root of 4932000000 is about 1702.1886458645.

Adding to 4932000000 its reverse (2394), we get a palindrome (4932002394).

The spelling of 4932000000 in words is "four billion, nine hundred thirty-two million", and thus it is an aban number.