Search a number
-
+
6845000000 = 2657372
BaseRepresentation
bin1100101111111111…
…00110100101000000
3122200001002000202112
412113333212211000
5103004310000000
63051120034452
7331424353136
oct62777464500
918601060675
106845000000
1129a29078a3
1213b0462a28
13851176277
1448d12d756
152a0ded235
hex197fe6940

6845000000 has 168 divisors, whose sum is σ = 17450052984. Its totient is φ = 2664000000.

The previous prime is 6844999961. The next prime is 6845000009. The reversal of 6845000000 is 5486.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 12 ways, for example, as 5633403136 + 1211596864 = 75056^2 + 34808^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6845000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6845000009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184999982 + ... + 185000018.

It is an arithmetic number, because the mean of its divisors is an integer number (103869363).

Almost surely, 26845000000 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 6845000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8725026492).

6845000000 is an abundant number, since it is smaller than the sum of its proper divisors (10605052984).

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

6845000000 is an frugal number, since it uses more digits than its factorization.

6845000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 6845000000 is about 82734.5151674922. The cubic root of 6845000000 is about 1898.7064140338.

Adding to 6845000000 its reverse (5486), we get a palindrome (6845005486).

The spelling of 6845000000 in words is "six billion, eight hundred forty-five million", and thus it is an aban number.