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1806065664 = 2133135653
BaseRepresentation
bin110101110100110…
…0110000000000000
311122212102122022220
41223221212000000
512144323100124
6455114131040
762520206364
oct15351460000
94585378286
101806065664
11847527957
12424a20a80
1322a234c10
14131c152a4
15a8855879
hex6ba66000

1806065664 has 112 divisors (see below), whose sum is σ = 5187250992. Its totient is φ = 555614208.

The previous prime is 1806065623. The next prime is 1806065687. The reversal of 1806065664 is 4665606081.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316662 + ... + 322314.

It is an arithmetic number, because the mean of its divisors is an integer number (46314741).

Almost surely, 21806065664 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 1806065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593625496).

1806065664 is an abundant number, since it is smaller than the sum of its proper divisors (3381185328).

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

1806065664 is an equidigital number, since it uses as much as digits as its factorization.

1806065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5695 (or 5671 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 1806065664 is about 42497.8312858433. The cubic root of 1806065664 is about 1217.8052595113.

The spelling of 1806065664 in words is "one billion, eight hundred six million, sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4992 5653 6144 6656 8192 9984 11306 12288 13312 16959 19968 22612 24576 26624 33918 39936 45224 53248 67836 73489 79872 90448 106496 135672 146978 159744 180896 220467 271344 293956 319488 361792 440934 542688 587912 723584 881868 1085376 1175824 1447168 1763736 2170752 2351648 2894336 3527472 4341504 4703296 5788672 7054944 8683008 9406592 11577344 14109888 17366016 18813184 23154688 28219776 34732032 37626368 46309376 56439552 69464064 75252736 112879104 138928128 150505472 225758208 301010944 451516416 602021888 903032832 1806065664