Search a number
-
+
8725700000 = 255587257
BaseRepresentation
bin10000010000001011…
…11001110110100000
3211112002221111011002
420020011321312200
5120332234400000
64001502011132
7426142140413
oct101005716640
924462844132
108725700000
113778480616
121836276aa8
13a909b01c4
145cac11b7a
153610978d5
hex208179da0

8725700000 has 72 divisors (see below), whose sum is σ = 21472274124. Its totient is φ = 3490240000.

The previous prime is 8725699987. The next prime is 8725700023. The reversal of 8725700000 is 75278.

It can be written as a sum of positive squares in 6 ways, for example, as 3514592656 + 5211107344 = 59284^2 + 72188^2 .

It is a super-2 number, since 2×87257000002 (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 56372 + ... + 143628.

Almost surely, 28725700000 is an apocalyptic number.

8725700000 is a gapful number since it is divisible by the number (80) 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 8725700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10736137062).

8725700000 is an abundant number, since it is smaller than the sum of its proper divisors (12746574124).

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

8725700000 is an frugal number, since it uses more digits than its factorization.

8725700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87292 (or 87264 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 8725700000 is about 93411.4554002880. The cubic root of 8725700000 is about 2058.7333149746.

Adding to 8725700000 its reverse (75278), we get a palindrome (8725775278).

The spelling of 8725700000 in words is "eight billion, seven hundred twenty-five million, seven hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 87257 100000 174514 349028 436285 698056 872570 1396112 1745140 2181425 2792224 3490280 4362850 6980560 8725700 10907125 13961120 17451400 21814250 34902800 43628500 54535625 69805600 87257000 109071250 174514000 218142500 272678125 349028000 436285000 545356250 872570000 1090712500 1745140000 2181425000 4362850000 8725700000