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6066422244 = 223259248409
BaseRepresentation
bin1011010011001011…
…00100000111100100
3120122210001011212100
411221211210013210
544411001002434
62441544252100
7303221511141
oct55145440744
916583034770
106066422244
112633378903
121213771030
13758a83c7c
1441797d3c8
152578a8699
hex1699641e4

6066422244 has 54 divisors (see below), whose sum is σ = 15599202710. Its totient is φ = 1987826112.

The previous prime is 6066422237. The next prime is 6066422269. The reversal of 6066422244 is 4422246606.

6066422244 is a `hidden beast` number, since 6 + 0 + 6 + 642 + 2 + 2 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6065294400 + 1127844 = 77880^2 + 1062^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6066422199 and 6066422208.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 101112 + ... + 149520.

Almost surely, 26066422244 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 6066422244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799601355).

6066422244 is an abundant number, since it is smaller than the sum of its proper divisors (9532780466).

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

6066422244 is a wasteful number, since it uses less digits than its factorization.

6066422244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48537 (or 48473 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 6066422244 is about 77887.2405725097. The cubic root of 6066422244 is about 1823.8014016517.

The spelling of 6066422244 in words is "six billion, sixty-six million, four hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 3481 6962 10443 13924 20886 31329 41772 48409 62658 96818 125316 145227 193636 290454 435681 580908 871362 1742724 2856131 5712262 8568393 11424524 17136786 25705179 34273572 51410358 102820716 168511729 337023458 505535187 674046916 1011070374 1516605561 2022140748 3033211122 6066422244