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1668085510 = 2571329312039
BaseRepresentation
bin110001101101100…
…1111011100000110
311022020210112010211
41203123033130012
511404012214020
6433304510034
756223331030
oct14333173406
94266715124
101668085510
11786655373
123a677b31a
13207784060
1411b778c50
159b69c85a
hex636cf706

1668085510 has 128 divisors (see below), whose sum is σ = 3948134400. Its totient is φ = 493032960.

The previous prime is 1668085501. The next prime is 1668085513. The reversal of 1668085510 is 155808661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668085513) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 817071 + ... + 819109.

It is an arithmetic number, because the mean of its divisors is an integer number (30844800).

Almost surely, 21668085510 is an apocalyptic number.

1668085510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1668085510 is an abundant number, since it is smaller than the sum of its proper divisors (2280048890).

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

1668085510 is a wasteful number, since it uses less digits than its factorization.

1668085510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126.

The product of its (nonzero) digits is 57600, while the sum is 40.

The square root of 1668085510 is about 40842.2025605868. The cubic root of 1668085510 is about 1185.9674510261.

The spelling of 1668085510 in words is "one billion, six hundred sixty-eight million, eighty-five thousand, five hundred ten".

Divisors: 1 2 5 7 10 13 14 26 29 31 35 58 62 65 70 91 130 145 155 182 203 217 290 310 377 403 406 434 455 754 806 899 910 1015 1085 1798 1885 2015 2030 2039 2170 2639 2821 3770 4030 4078 4495 5278 5642 6293 8990 10195 11687 12586 13195 14105 14273 20390 23374 26390 26507 28210 28546 31465 53014 58435 59131 62930 63209 71365 81809 116870 118262 126418 132535 142730 163618 185549 265070 295655 316045 371098 409045 413917 442463 591310 632090 768703 818090 821717 827834 884926 927745 1537406 1643434 1833061 1855490 2069585 2212315 3666122 3843515 4108585 4139170 4424630 5380921 5752019 7687030 8217170 9165305 10761842 11504038 12831427 18330610 23829793 25662854 26904605 28760095 47659586 53809210 57520190 64157135 119148965 128314270 166808551 238297930 333617102 834042755 1668085510