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1668476712 = 233743713253
BaseRepresentation
bin110001101110010…
…1110111100101000
311022021112101202210
41203130232330220
511404112223322
6433321125120
756226550410
oct14334567450
94267471683
101668476712
117868a2281
123a69297a0
13207890136
1411b83b640
159b72870c
hex6372ef28

1668476712 has 128 divisors (see below), whose sum is σ = 4948162560. Its totient is φ = 458922240.

The previous prime is 1668476683. The next prime is 1668476723. The reversal of 1668476712 is 2176748661.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511278 + ... + 514530.

It is an arithmetic number, because the mean of its divisors is an integer number (38657520).

Almost surely, 21668476712 is an apocalyptic number.

1668476712 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 1668476712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474081280).

1668476712 is an abundant number, since it is smaller than the sum of its proper divisors (3279685848).

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

1668476712 is a wasteful number, since it uses less digits than its factorization.

1668476712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3379 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 1668476712 is about 40846.9914681608. The cubic root of 1668476712 is about 1186.0601554212.

The spelling of 1668476712 in words is "one billion, six hundred sixty-eight million, four hundred seventy-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 71 84 86 129 142 168 172 213 258 284 301 344 426 497 516 568 602 852 903 994 1032 1204 1491 1704 1806 1988 2408 2982 3053 3253 3612 3976 5964 6106 6506 7224 9159 9759 11928 12212 13012 18318 19518 21371 22771 24424 26024 36636 39036 42742 45542 64113 68313 73272 78072 85484 91084 128226 136626 139879 170968 182168 230963 256452 273252 279758 419637 461926 512904 546504 559516 692889 839274 923852 979153 1119032 1385778 1616741 1678548 1847704 1958306 2771556 2937459 3233482 3357096 3916612 4850223 5543112 5874918 6466964 7833224 9700446 9931409 11749836 12933928 19400892 19862818 23499672 29794227 38801784 39725636 59588454 69519863 79451272 119176908 139039726 208559589 238353816 278079452 417119178 556158904 834238356 1668476712