Search a number
-
+
7036128000 = 283253112221
BaseRepresentation
bin1101000110110001…
…01100101100000000
3200011100201100002100
412203120230230000
5103402222044000
63122104350400
7336235046466
oct64330545400
920140640070
107036128000
112a90790120
121444475400
13881945265
144aa682836
152b2aa3a00
hex1a362cb00

7036128000 has 432 divisors, whose sum is σ = 27632116512. Its totient is φ = 1704960000.

The previous prime is 7036127971. The next prime is 7036128019. The reversal of 7036128000 is 8216307.

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 47 ways as a sum of consecutive naturals, for example, 3166890 + ... + 3169110.

Almost surely, 27036128000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7036128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13816058256).

7036128000 is an abundant number, since it is smaller than the sum of its proper divisors (20595988512).

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

7036128000 is a wasteful number, since it uses less digits than its factorization.

7036128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7036128000 is about 83881.6308854328. The cubic root of 7036128000 is about 1916.2165075979.

The spelling of 7036128000 in words is "seven billion, thirty-six million, one hundred twenty-eight thousand".