Search a number
-
+
6125603328 = 293213293349
BaseRepresentation
bin1011011010001110…
…10100101000000000
3120210220101220001100
411231013110220000
5100021123301303
62451500534400
7304540524555
oct55507245000
916726356040
106125603328
11266381a499
12122b551400
13768105270
14421786a2c
1525cb988a3
hex16d1d4a00

6125603328 has 240 divisors, whose sum is σ = 19158539400. Its totient is φ = 1872986112.

The previous prime is 6125603299. The next prime is 6125603377. The reversal of 6125603328 is 8233065216.

It is a happy number.

6125603328 is a `hidden beast` number, since 6 + 1 + 25 + 603 + 3 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5905615104 + 219988224 = 76848^2 + 14832^2 .

It is a super-3 number, since 3×61256033283 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 = 6125603292 and 6125603301.

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 23 ways as a sum of consecutive naturals, for example, 17551698 + ... + 17552046.

Almost surely, 26125603328 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 6125603328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9579269700).

6125603328 is an abundant number, since it is smaller than the sum of its proper divisors (13032936072).

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

6125603328 is a wasteful number, since it uses less digits than its factorization.

6125603328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6125603328 is about 78266.2336387794. The cubic root of 6125603328 is about 1829.7129281845.

The spelling of 6125603328 in words is "six billion, one hundred twenty-five million, six hundred three thousand, three hundred twenty-eight".