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1668668148 = 223372437333
BaseRepresentation
bin110001101110101…
…1101101011110100
311022021220010101000
41203131131223310
511404134340043
6433325203300
756231305500
oct14335355364
94267803330
101668668148
11786a13094
123a6a00530
13207929304
1411b88b300
159b7652d3
hex6375daf4

1668668148 has 144 divisors (see below), whose sum is σ = 5150228160. Its totient is φ = 465611328.

The previous prime is 1668668129. The next prime is 1668668153. The reversal of 1668668148 is 8418668661.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1668668094 and 1668668103.

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, 223890 + ... + 231222.

Almost surely, 21668668148 is an apocalyptic number.

1668668148 is a gapful number since it is divisible by the number (18) 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 1668668148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575114080).

1668668148 is an abundant number, since it is smaller than the sum of its proper divisors (3481560012).

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

1668668148 is a wasteful number, since it uses less digits than its factorization.

1668668148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7403 (or 7388 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 1668668148 is about 40849.3347314249. The cubic root of 1668668148 is about 1186.1055153448.

The spelling of 1668668148 in words is "one billion, six hundred sixty-eight million, six hundred sixty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 49 54 63 84 86 98 108 126 129 147 172 189 196 252 258 294 301 378 387 441 516 588 602 756 774 882 903 1161 1204 1323 1548 1764 1806 2107 2322 2646 2709 3612 4214 4644 5292 5418 6321 7333 8127 8428 10836 12642 14666 16254 18963 21999 25284 29332 32508 37926 43998 51331 56889 65997 75852 87996 102662 113778 131994 153993 197991 205324 227556 263988 307986 315319 359317 395982 461979 615972 630638 718634 791964 923958 945957 1077951 1261276 1385937 1437268 1847916 1891914 2155902 2207233 2771874 2837871 3233853 3783828 4311804 4414466 5543748 5675742 6467706 6621699 8513613 8828932 9701559 11351484 12935412 13243398 15450631 17027226 19403118 19865097 26486796 30901262 34054452 38806236 39730194 46351893 59595291 61802524 79460388 92703786 119190582 139055679 185407572 238381164 278111358 417167037 556222716 834334074 1668668148