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1668350016 = 263223912119
BaseRepresentation
bin110001101110001…
…0000000001000000
311022021021221222100
41203130100001000
511404044200031
6433314310400
756225512134
oct14334200100
94267257870
101668350016
11786816073
123a6888400
13207847578
1411b8073c4
159b700de6
hex63710040

1668350016 has 84 divisors (see below), whose sum is σ = 4802428800. Its totient is φ = 553744128.

The previous prime is 1668349997. The next prime is 1668350039. The reversal of 1668350016 is 6100538661.

It is a happy number.

1668350016 is a `hidden beast` number, since 1 + 66 + 83 + 500 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131605 + ... + 143723.

Almost surely, 21668350016 is an apocalyptic number.

1668350016 is a gapful number since it is divisible by the number (16) 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 1668350016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401214400).

1668350016 is an abundant number, since it is smaller than the sum of its proper divisors (3134078784).

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

1668350016 is a wasteful number, since it uses less digits than its factorization.

1668350016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12376 (or 12363 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1668350016 is about 40845.4405778662. The cubic root of 1668350016 is about 1186.0301334496.

Adding to 1668350016 its reverse (6100538661), we get a palindrome (7768888677).

The spelling of 1668350016 in words is "one billion, six hundred sixty-eight million, three hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 239 288 478 576 717 956 1434 1912 2151 2868 3824 4302 5736 7648 8604 11472 12119 15296 17208 22944 24238 34416 36357 45888 48476 68832 72714 96952 109071 137664 145428 193904 218142 290856 387808 436284 581712 775616 872568 1163424 1745136 2326848 2896441 3490272 5792882 6980544 8689323 11585764 17378646 23171528 26067969 34757292 46343056 52135938 69514584 92686112 104271876 139029168 185372224 208543752 278058336 417087504 556116672 834175008 1668350016