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1668321648 = 243277123311
BaseRepresentation
bin110001101110000…
…1001000101110000
311022021020112001200
41203130021011300
511404042243043
6433313531200
756225333340
oct14334110560
94267215050
101668321648
117867a6824
123a6873b00
13207837696
1411b7dad20
159b6e77d3
hex63709170

1668321648 has 120 divisors (see below), whose sum is σ = 5411367936. Its totient is φ = 469929600.

The previous prime is 1668321631. The next prime is 1668321671. The reversal of 1668321648 is 8461238661.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 59913 + ... + 83223.

Almost surely, 21668321648 is an apocalyptic number.

1668321648 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 1668321648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705683968).

1668321648 is an abundant number, since it is smaller than the sum of its proper divisors (3743046288).

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

1668321648 is a wasteful number, since it uses less digits than its factorization.

1668321648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23403 (or 23394 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1668321648 is about 40845.0933160888. The cubic root of 1668321648 is about 1186.0234111405.

The spelling of 1668321648 in words is "one billion, six hundred sixty-eight million, three hundred twenty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 71 72 84 112 126 142 144 168 213 252 284 336 426 497 504 568 639 852 994 1008 1136 1278 1491 1704 1988 2556 2982 3408 3976 4473 5112 5964 7952 8946 10224 11928 17892 23311 23856 35784 46622 69933 71568 93244 139866 163177 186488 209799 279732 326354 372976 419598 489531 559464 652708 839196 979062 1118928 1305416 1468593 1655081 1678392 1958124 2610832 2937186 3310162 3356784 3916248 4965243 5874372 6620324 7832496 9930486 11585567 11748744 13240648 14895729 19860972 23171134 23497488 26481296 29791458 34756701 39721944 46342268 59582916 69513402 79443888 92684536 104270103 119165832 139026804 185369072 208540206 238331664 278053608 417080412 556107216 834160824 1668321648