Search a number
-
+
7036331328 = 2638131289
BaseRepresentation
bin1101000110110010…
…11110010101000000
3200011101002200000000
412203121132111000
5103402300100303
63122113000000
7336236554335
oct64331362500
920141080000
107036331328
112a90909964
121444553000
138819b6980
144aa6d698c
152b2ae3da3
hex1a365e540

7036331328 has 252 divisors, whose sum is σ = 22571514420. Its totient is φ = 2163345408.

The previous prime is 7036331293. The next prime is 7036331383. The reversal of 7036331328 is 8231336307.

It is a happy number.

7036331328 is a `hidden beast` number, since 7 + 0 + 3 + 633 + 13 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3326059584 + 3710271744 = 57672^2 + 60912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7036331292 and 7036331301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5458108 + ... + 5459396.

Almost surely, 27036331328 is an apocalyptic number.

7036331328 is a gapful number since it is divisible by the number (78) 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 7036331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11285757210).

7036331328 is an abundant number, since it is smaller than the sum of its proper divisors (15535183092).

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

7036331328 is an equidigital number, since it uses as much as digits as its factorization.

7036331328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 7036331328 is about 83882.8428702795. The cubic root of 7036331328 is about 1916.2349655110.

The spelling of 7036331328 in words is "seven billion, thirty-six million, three hundred thirty-one thousand, three hundred twenty-eight".