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4266083668 = 2272119720399
BaseRepresentation
bin1111111001000111…
…0100010101010100
3102000022101111121211
43332101310111110
532214104134133
61543152551204
7210501053500
oct37621642524
912008344554
104266083668
11189a102890
129b0852504
1352caa5a82
142c6819300
1519e7d4bcd
hexfe474554

4266083668 has 72 divisors (see below), whose sum is σ = 9572169600. Its totient is φ = 1644894720.

The previous prime is 4266083651. The next prime is 4266083669. The reversal of 4266083668 is 8663806624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4266083669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198933 + ... + 219331.

It is an arithmetic number, because the mean of its divisors is an integer number (132946800).

Almost surely, 24266083668 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 4266083668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786084800).

4266083668 is an abundant number, since it is smaller than the sum of its proper divisors (5306085932).

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

4266083668 is a wasteful number, since it uses less digits than its factorization.

4266083668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20525 (or 20516 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

The square root of 4266083668 is about 65315.2636678441. The cubic root of 4266083668 is about 1621.8466555452.

The spelling of 4266083668 in words is "four billion, two hundred sixty-six million, eighty-three thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 97 98 154 194 196 308 388 539 679 1067 1078 1358 2134 2156 2716 4268 4753 7469 9506 14938 19012 20399 29876 40798 52283 81596 104566 142793 209132 224389 285586 448778 571172 897556 999551 1570723 1978703 1999102 3141446 3957406 3998204 6282892 7914812 10995061 13850921 21765733 21990122 27701842 43531466 43980244 55403684 87062932 96956447 152360131 193912894 304720262 387825788 609440524 1066520917 2133041834 4266083668