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1668851712 = 21132118231
BaseRepresentation
bin110001101111000…
…1010100000000000
311022022020110011200
41203132022200000
511404211223322
6433333141200
756233001613
oct14336124000
94268213150
101668851712
11787028aa0
123a6a8a800
13207991a28
1411b8d817a
159b79e8ac
hex6378a800

1668851712 has 144 divisors (see below), whose sum is σ = 5258766240. Its totient is φ = 505651200.

The previous prime is 1668851669. The next prime is 1668851747. The reversal of 1668851712 is 2171588661.

It is a tau number, because it is divible by the number of its divisors (144).

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 11 ways as a sum of consecutive naturals, for example, 198637 + ... + 206867.

It is an arithmetic number, because the mean of its divisors is an integer number (36519210).

Almost surely, 21668851712 is an apocalyptic number.

1668851712 is a gapful number since it is divisible by the number (12) 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 1668851712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629383120).

1668851712 is an abundant number, since it is smaller than the sum of its proper divisors (3589914528).

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

1668851712 is a wasteful number, since it uses less digits than its factorization.

1668851712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8270 (or 8247 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 1668851712 is about 40851.5815116135. The cubic root of 1668851712 is about 1186.1490067744.

The spelling of 1668851712 in words is "one billion, six hundred sixty-eight million, eight hundred fifty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2048 2112 2304 2816 3072 3168 4224 4608 5632 6144 6336 8231 8448 9216 11264 12672 16462 16896 18432 22528 24693 25344 32924 33792 49386 50688 65848 67584 74079 90541 98772 101376 131696 148158 181082 197544 202752 263392 271623 296316 362164 395088 526784 543246 592632 724328 790176 814869 1053568 1086492 1185264 1448656 1580352 1629738 2107136 2172984 2370528 2897312 3160704 3259476 4214272 4345968 4741056 5794624 6321408 6518952 8428544 8691936 9482112 11589248 12642816 13037904 16857088 17383872 18964224 23178496 25285632 26075808 34767744 37928448 46356992 50571264 52151616 69535488 75856896 92713984 104303232 139070976 151713792 185427968 208606464 278141952 417212928 556283904 834425856 1668851712