Search a number
-
+
6485764000 = 255319611399
BaseRepresentation
bin1100000101001010…
…01110011110100000
3121202000002221121111
412002211032132200
5101240323422000
62551324233104
7316503040642
oct60245163640
917660087544
106485764000
112829054541
12131009b794
137c49081a1
1445753a892
1527e5dccba
hex18294e7a0

6485764000 has 192 divisors, whose sum is σ = 17061408000. Its totient is φ = 2415744000.

The previous prime is 6485763961. The next prime is 6485764007. The reversal of 6485764000 is 4675846.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6485764007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4635301 + ... + 4636699.

It is an arithmetic number, because the mean of its divisors is an integer number (88861500).

Almost surely, 26485764000 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 6485764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704000).

6485764000 is an abundant number, since it is smaller than the sum of its proper divisors (10575644000).

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

6485764000 is a wasteful number, since it uses less digits than its factorization.

6485764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 6485764000 is about 80534.2411648610. The cubic root of 6485764000 is about 1864.8921202516.

The spelling of 6485764000 in words is "six billion, four hundred eighty-five million, seven hundred sixty-four thousand".