Search a number
-
+
6495005088 = 25371121359
BaseRepresentation
bin1100000110010000…
…11110100110100000
3121202122111110000000
412003020132212200
5101300210130323
62552254300000
7316644426615
oct60310364640
917678443000
106495005088
112833296500
1213131b7600
137c67c24a0
1445886450c
15280315e43
hex18321e9a0

6495005088 has 576 divisors, whose sum is σ = 23085820800. Its totient is φ = 1785991680.

The previous prime is 6495005071. The next prime is 6495005089. The reversal of 6495005088 is 8805005946.

6495005088 is a `hidden beast` number, since 64 + 9 + 500 + 5 + 0 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (6495005089) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 110084803 + ... + 110084861.

It is an arithmetic number, because the mean of its divisors is an integer number (40079550).

Almost surely, 26495005088 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 6495005088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11542910400).

6495005088 is an abundant number, since it is smaller than the sum of its proper divisors (16590815712).

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

6495005088 is a wasteful number, since it uses less digits than its factorization.

6495005088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 6495005088 is about 80591.5944004088. The cubic root of 6495005088 is about 1865.7774157844. Note that the first 3 decimals are identical.

The spelling of 6495005088 in words is "six billion, four hundred ninety-five million, five thousand, eighty-eight".