Search a number
-
+
1668576768 = 2932373647
BaseRepresentation
bin110001101110100…
…0111011000000000
311022021201111000120
41203131013120000
511404123424033
6433323220240
756230445205
oct14335073000
94267644016
101668576768
11786960471
123a6977680
132078c6841
1411b865cac
159b7481b3
hex63747600

1668576768 has 160 divisors (see below), whose sum is σ = 4709270016. Its totient is φ = 523911168.

The previous prime is 1668576731. The next prime is 1668576779. The reversal of 1668576768 is 8676758661.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2578621 + ... + 2579267.

Almost surely, 21668576768 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 1668576768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354635008).

1668576768 is an abundant number, since it is smaller than the sum of its proper divisors (3040693248).

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

1668576768 is an equidigital number, since it uses as much as digits as its factorization.

1668576768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 748 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 60.

The square root of 1668576768 is about 40848.2162156440. The cubic root of 1668576768 is about 1186.0838636859.

The spelling of 1668576768 in words is "one billion, six hundred sixty-eight million, five hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 73 92 96 128 138 146 184 192 219 256 276 292 368 384 438 512 552 584 647 736 768 876 1104 1168 1294 1472 1536 1679 1752 1941 2208 2336 2588 2944 3358 3504 3882 4416 4672 5037 5176 5888 6716 7008 7764 8832 9344 10074 10352 11776 13432 14016 14881 15528 17664 18688 20148 20704 26864 28032 29762 31056 35328 37376 40296 41408 44643 47231 53728 56064 59524 62112 80592 82816 89286 94462 107456 112128 119048 124224 141693 161184 165632 178572 188924 214912 238096 248448 283386 322368 331264 357144 377848 429824 476192 496896 566772 644736 714288 755696 859648 952384 993792 1086313 1133544 1289472 1428576 1511392 1904768 2172626 2267088 2578944 2857152 3022784 3258939 3809536 4345252 4534176 5714304 6045568 6517878 7619072 8690504 9068352 11428608 12091136 13035756 17381008 18136704 22857216 24182272 26071512 34762016 36273408 52143024 69524032 72546816 104286048 139048064 208572096 278096128 417144192 556192256 834288384 1668576768