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4427316660 = 22351321373187
BaseRepresentation
bin1000001111110001…
…10111110110110100
3102102112202222201010
410013320313312310
533031343113120
62011152432220
7214466366514
oct40770676664
912375688633
104427316660
111972117598
12a36848670
13557308800
142dddc9844
151ada327e0
hex107e37db4

4427316660 has 144 divisors (see below), whose sum is σ = 13525638336. Its totient is φ = 1081506816.

The previous prime is 4427316623. The next prime is 4427316703. The reversal of 4427316660 is 666137244.

It is a happy number.

It is a super-2 number, since 2×44273166602 = 39202265615827111200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1387587 + ... + 1390773.

It is an arithmetic number, because the mean of its divisors is an integer number (93928044).

Almost surely, 24427316660 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 4427316660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6762819168).

4427316660 is an abundant number, since it is smaller than the sum of its proper divisors (9098321676).

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

4427316660 is a wasteful number, since it uses less digits than its factorization.

4427316660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 4427316660 is about 66538.0842826122. The cubic root of 4427316660 is about 1642.0266265340.

The spelling of 4427316660 in words is "four billion, four hundred twenty-seven million, three hundred sixteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 137 156 169 195 260 274 338 390 411 507 548 676 685 780 822 845 1014 1370 1644 1690 1781 2028 2055 2535 2740 3187 3380 3562 4110 5070 5343 6374 7124 8220 8905 9561 10140 10686 12748 15935 17810 19122 21372 23153 26715 31870 35620 38244 41431 46306 47805 53430 63740 69459 82862 92612 95610 106860 115765 124293 138918 165724 191220 207155 231530 248586 277836 347295 414310 436619 463060 497172 538603 621465 694590 828620 873238 1077206 1242930 1309857 1389180 1615809 1746476 2154412 2183095 2485860 2619714 2693015 3231618 4366190 5239428 5386030 5676047 6463236 6549285 8079045 8732380 10772060 11352094 13098570 16158090 17028141 22704188 26197140 28380235 32316180 34056282 56760470 68112564 73788611 85140705 113520940 147577222 170281410 221365833 295154444 340562820 368943055 442731666 737886110 885463332 1106829165 1475772220 2213658330 4427316660