Search a number
-
+
7396000000 = 2856432
BaseRepresentation
bin1101110001101011…
…00000000100000000
3201002102212201122221
412320311200010000
5110121334000000
63221521540424
7351164651134
oct67065400400
921072781587
107396000000
1131559382a4
121524aa4714
1390b37697c
1450239d3c4
152d448c61a
hex1b8d60100

7396000000 has 189 divisors, whose sum is σ = 18892785513. Its totient is φ = 2889600000.

The previous prime is 7395999977. The next prime is 7396000013. The reversal of 7396000000 is 6937.

The square root of 7396000000 is 86000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 6479606016 + 916393984 = 80496^2 + 30272^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 171999979 + ... + 172000021.

Almost surely, 27396000000 is an apocalyptic number.

7396000000 is the 86000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7396000000

7396000000 is an abundant number, since it is smaller than the sum of its proper divisors (11496785513).

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

7396000000 is an frugal number, since it uses more digits than its factorization.

7396000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The cubic root of 7396000000 is about 1948.3439808464.

Multiplying 7396000000 by its sum of digits (25), we get a square (184900000000 = 4300002).

7396000000 divided by its sum of digits (25) gives a square (295840000 = 172002).

Adding to 7396000000 its reverse (6937), we get a palindrome (7396006937).

The spelling of 7396000000 in words is "seven billion, three hundred ninety-six million", and thus it is an aban number.