Search a number
-
+
6608890080 = 253251317191093
BaseRepresentation
bin1100010011110101…
…11010100011100000
3122001120210101211200
412021322322203200
5102013333440310
63011443241200
7322526432052
oct61172724340
918046711750
106608890080
112891600a31
121345379200
13814287c60
14469a2b8d2
1528a30e9c0
hex189eba8e0

6608890080 has 576 divisors, whose sum is σ = 27094616640. Its totient is φ = 1449197568.

The previous prime is 6608890073. The next prime is 6608890091. The reversal of 6608890080 is 800988066.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6046014 + ... + 6047106.

It is an arithmetic number, because the mean of its divisors is an integer number (47039265).

Almost surely, 26608890080 is an apocalyptic number.

6608890080 is a gapful number since it is divisible by the number (60) 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 6608890080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547308320).

6608890080 is an abundant number, since it is smaller than the sum of its proper divisors (20485726560).

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

6608890080 is a wasteful number, since it uses less digits than its factorization.

6608890080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 6608890080 is about 81295.0802939514. The cubic root of 6608890080 is about 1876.6192902103.

The spelling of 6608890080 in words is "six billion, six hundred eight million, eight hundred ninety thousand, eighty".