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4426666244 = 22711131765033
BaseRepresentation
bin1000001111101100…
…11001000100000100
3102102111112221111122
410013312121010010
533031211304434
62011130453112
7214461020330
oct40766310404
912374487448
104426666244
111971812960
12a36594198
1355713b750
142ddc9a7c0
151ad954c2e
hex107d99104

4426666244 has 96 divisors (see below), whose sum is σ = 11013117696. Its totient is φ = 1498337280.

The previous prime is 4426666213. The next prime is 4426666259.

4426666244 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4426666195 and 4426666204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35552 + ... + 100584.

It is an arithmetic number, because the mean of its divisors is an integer number (114719976).

Almost surely, 24426666244 is an apocalyptic number.

4426666244 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 4426666244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5506558848).

4426666244 is an abundant number, since it is smaller than the sum of its proper divisors (6586451452).

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

4426666244 is a wasteful number, since it uses less digits than its factorization.

4426666244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65085 (or 65083 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

The square root of 4426666244 is about 66533.1965563056. The cubic root of 4426666244 is about 1641.9462126870.

The spelling of 4426666244 in words is "four billion, four hundred twenty-six million, six hundred sixty-six thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 13 14 17 22 26 28 34 44 52 68 77 91 119 143 154 182 187 221 238 286 308 364 374 442 476 572 748 884 1001 1309 1547 2002 2431 2618 3094 4004 4862 5236 6188 9724 17017 34034 65033 68068 130066 260132 455231 715363 845429 910462 1105561 1430726 1690858 1820924 2211122 2861452 3381716 4422244 5007541 5918003 7738927 9299719 10015082 11836006 12161171 14372293 15477854 18599438 20030164 23672012 24322342 28744586 30955708 37198876 48644684 57489172 65098033 85128197 100606051 130196066 158095223 170256394 201212102 260392132 316190446 340512788 402424204 632380892 1106666561 2213333122 4426666244