Search a number
-
+
6440126022 = 23311389603
BaseRepresentation
bin1011111111101110…
…01000011001000110
3121121211020022002000
411333313020121012
5101142133013042
62543014130130
7315410111421
oct57767103106
917554208060
106440126022
112805313000
1212b8950946
137b8319375
1445145a9b8
1527a5c574c
hex17fdc8646

6440126022 has 64 divisors (see below), whose sum is σ = 15741630720. Its totient is φ = 1951531560.

The previous prime is 6440125949. The next prime is 6440126029. The reversal of 6440126022 is 2206210446.

6440126022 is a `hidden beast` number, since 6 + 4 + 40 + 12 + 602 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6440126029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27073 + ... + 116675.

It is an arithmetic number, because the mean of its divisors is an integer number (245962980).

Almost surely, 26440126022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6440126022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7870815360).

6440126022 is an abundant number, since it is smaller than the sum of its proper divisors (9301504698).

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

6440126022 is a wasteful number, since it uses less digits than its factorization.

6440126022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89647 (or 89619 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6440126022 is about 80250.3957747250. The cubic root of 6440126022 is about 1860.5076293957.

Adding to 6440126022 its reverse (2206210446), we get a palindrome (8646336468).

The spelling of 6440126022 in words is "six billion, four hundred forty million, one hundred twenty-six thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 1331 2178 2662 3267 3993 6534 7986 11979 23958 35937 71874 89603 179206 268809 537618 806427 985633 1612854 1971266 2419281 2956899 4838562 5913798 8870697 10841963 17741394 21683926 26612091 32525889 53224182 65051778 97577667 119261593 195155334 238523186 292733001 357784779 585466002 715569558 1073354337 2146708674 3220063011 6440126022