Search a number
-
+
485647746584 = 2371113173397883
BaseRepresentation
bin1110001000100101101…
…11001000011000011000
31201102112121220200211012
413010102313020120120
530424101310342314
61011034204353052
750041542510050
oct7042267103030
91642477820735
10485647746584
11177a64546040
127a156545788
1336a47877130
1419711054560
15c975b1d93e
hex7112dc8618

485647746584 has 256 divisors, whose sum is σ = 1234170362880. Its totient is φ = 173015377920.

The previous prime is 485647746583. The next prime is 485647746589.

485647746584 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485647746583) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 549997007 + ... + 549997889.

It is an arithmetic number, because the mean of its divisors is an integer number (4820977980).

Almost surely, 2485647746584 is an apocalyptic number.

485647746584 is a gapful number since it is divisible by the number (44) 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 485647746584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617085181440).

485647746584 is an abundant number, since it is smaller than the sum of its proper divisors (748522616296).

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

485647746584 is a wasteful number, since it uses less digits than its factorization.

485647746584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1486 counting only the distinct ones).

The product of its digits is 722534400, while the sum is 68.

The spelling of 485647746584 in words is "four hundred eighty-five billion, six hundred forty-seven million, seven hundred forty-six thousand, five hundred eighty-four".