Search a number
-
+
6491120625 = 3354113172
BaseRepresentation
bin1100000101110011…
…01010001111110001
3121202101012002112000
412002321222033301
5101243211330000
62552035124213
7316566420633
oct60271521761
917671162460
106491120625
112831083000
121311a43669
137c5a623a2
14458132a53
1527ecea000
hex182e6a3f1

6491120625 has 240 divisors, whose sum is σ = 14040755520. Its totient is φ = 2962080000.

The previous prime is 6491120617. The next prime is 6491120627. The reversal of 6491120625 is 5260211946.

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.

6491120625 is a `hidden beast` number, since 6 + 4 + 9 + 1 + 1 + 20 + 625 = 666.

It is not a de Polignac number, because 6491120625 - 23 = 6491120617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6491120625.

It is not an unprimeable number, because it can be changed into a prime (6491120627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 381830617 + ... + 381830633.

It is an arithmetic number, because the mean of its divisors is an integer number (58503148).

Almost surely, 26491120625 is an apocalyptic number.

It is an amenable number.

6491120625 is an abundant number, since it is smaller than the sum of its proper divisors (7549634895).

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

6491120625 is an equidigital number, since it uses as much as digits as its factorization.

6491120625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6491120625 is about 80567.4911176959. The cubic root of 6491120625 is about 1865.4053868912.

The spelling of 6491120625 in words is "six billion, four hundred ninety-one million, one hundred twenty thousand, six hundred twenty-five".