Search a number
-
+
6486946020 = 22335172197211
BaseRepresentation
bin1100000101010011…
…01111000011100100
3121202002100000001000
412002221233003210
5101241124233040
62551405433300
7316516063032
oct60251570344
917662300030
106486946020
112829791615
12131056b830
137c4c301c9
14457767552
1527e773130
hex182a6f0e4

6486946020 has 288 divisors, whose sum is σ = 21649541760. Its totient is φ = 1612154880.

The previous prime is 6486946001. The next prime is 6486946021. The reversal of 6486946020 is 206496846.

6486946020 is a `hidden beast` number, since 6 + 486 + 94 + 60 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6486946021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30743715 + ... + 30743925.

It is an arithmetic number, because the mean of its divisors is an integer number (75172020).

Almost surely, 26486946020 is an apocalyptic number.

6486946020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6486946020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10824770880).

6486946020 is an abundant number, since it is smaller than the sum of its proper divisors (15162595740).

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

6486946020 is a wasteful number, since it uses less digits than its factorization.

6486946020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6486946020 is about 80541.5794481335. The cubic root of 6486946020 is about 1865.0054045609.

It can be divided in two parts, 64869 and 46020, that added together give a square (110889 = 3332).

The spelling of 6486946020 in words is "six billion, four hundred eighty-six million, nine hundred forty-six thousand, twenty".