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6441661446 = 2311375371701
BaseRepresentation
bin1011111111111001…
…11111010000000110
3121121221010022021120
411333330333100012
5101143031131241
62543111054410
7315426135033
oct57774772006
917557108246
106441661446
112806171650
1212b9371406
137b87361bc
1445173a38a
1527a7ca666
hex17ff3f406

6441661446 has 128 divisors (see below), whose sum is σ = 14935145472. Its totient is φ = 1834560000.

The previous prime is 6441661417. The next prime is 6441661459.

6441661446 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6441661398 and 6441661407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9188896 + ... + 9189596.

It is an arithmetic number, because the mean of its divisors is an integer number (116680824).

Almost surely, 26441661446 is an apocalyptic number.

6441661446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6441661446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7467572736).

6441661446 is an abundant number, since it is smaller than the sum of its proper divisors (8493484026).

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

6441661446 is a wasteful number, since it uses less digits than its factorization.

6441661446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878.

The product of its digits is 331776, while the sum is 42.

The square root of 6441661446 is about 80259.9616620890. The cubic root of 6441661446 is about 1860.6554754194.

The spelling of 6441661446 in words is "six billion, four hundred forty-one million, six hundred sixty-one thousand, four hundred forty-six".

Divisors: 1 2 3 6 11 22 33 37 53 66 71 74 106 111 142 159 213 222 318 407 426 583 701 781 814 1166 1221 1402 1562 1749 1961 2103 2343 2442 2627 3498 3763 3922 4206 4686 5254 5883 7526 7711 7881 11289 11766 15422 15762 21571 22578 23133 25937 28897 37153 41393 43142 46266 49771 51874 57794 64713 74306 77811 82786 86691 99542 111459 124179 129426 139231 149313 155622 173382 222918 248358 278462 285307 298626 408683 417693 547481 570614 817366 835386 855921 1094962 1226049 1374661 1531541 1642443 1711842 1841527 2452098 2637863 2749322 3063082 3284886 3683054 4123983 4594623 5275726 5524581 7913589 8247966 9189246 11049162 15121271 15827178 20256797 29016493 30242542 40513594 45363813 58032986 60770391 87049479 90727626 97600931 121540782 174098958 195201862 292802793 585605586 1073610241 2147220482 3220830723 6441661446