Search a number
-
+
7045800128 = 262315131699
BaseRepresentation
bin1101000111111011…
…00110000011000000
3200012000220201202022
412203331212003000
5103412211101003
63123051541012
7336413212223
oct64375460300
920160821668
107045800128
112a96196a14
12144775a768
13883950803
144aba7d5ba
152b3864738
hex1a3f660c0

7045800128 has 56 divisors (see below), whose sum is σ = 14686483200. Its totient is φ = 3347308800.

The previous prime is 7045800121. The next prime is 7045800133. The reversal of 7045800128 is 8210085407.

It is not an unprimeable number, because it can be changed into a prime (7045800121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206423 + ... + 238121.

Almost surely, 27045800128 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 7045800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7343241600).

7045800128 is an abundant number, since it is smaller than the sum of its proper divisors (7640683072).

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

7045800128 is a wasteful number, since it uses less digits than its factorization.

7045800128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31885 (or 31875 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 7045800128 is about 83939.2645190557. The cubic root of 7045800128 is about 1917.0941401706.

The spelling of 7045800128 in words is "seven billion, forty-five million, eight hundred thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 151 184 302 368 604 736 1208 1472 2416 3473 4832 6946 9664 13892 27784 31699 55568 63398 111136 126796 222272 253592 507184 729077 1014368 1458154 2028736 2916308 4786549 5832616 9573098 11665232 19146196 23330464 38292392 46660928 76584784 110090627 153169568 220181254 306339136 440362508 880725016 1761450032 3522900064 7045800128