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1687897665 = 3252359131211
BaseRepresentation
bin110010010011011…
…0100011001000001
311100122002002022100
41210212310121001
511424100211130
6435253301013
756553615306
oct14446643101
94318062270
101687897665
11796857553
123b1334769
1320b8ccb1c
141202550ad
159d2b2c60
hex649b4641

1687897665 has 96 divisors (see below), whose sum is σ = 3143162880. Its totient is φ = 836035200.

The previous prime is 1687897657. The next prime is 1687897669. The reversal of 1687897665 is 5667987861.

It is not a de Polignac number, because 1687897665 - 23 = 1687897657 is a prime.

Its product of digits (30481920) is a multiple of the sum of its prime divisors (432).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1687897669) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7999410 + ... + 7999620.

It is an arithmetic number, because the mean of its divisors is an integer number (32741280).

Almost surely, 21687897665 is an apocalyptic number.

1687897665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1687897665 is a deficient number, since it is larger than the sum of its proper divisors (1455265215).

1687897665 is a wasteful number, since it uses less digits than its factorization.

1687897665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 432 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The square root of 1687897665 is about 41084.0317520080. The cubic root of 1687897665 is about 1190.6443007184.

The spelling of 1687897665 in words is "one billion, six hundred eighty-seven million, eight hundred ninety-seven thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 23 45 59 69 115 131 177 207 211 295 345 393 531 633 655 885 1035 1055 1179 1357 1899 1965 2655 3013 3165 4071 4853 5895 6785 7729 9039 9495 12213 12449 14559 15065 20355 23187 24265 27117 27641 37347 38645 43677 45195 61065 62245 69561 72795 82923 112041 115935 135585 138205 177767 186735 218385 248769 286327 347805 414615 533301 560205 635743 858981 888835 1243845 1431635 1599903 1630819 1907229 2576943 2666505 3178715 4294905 4892457 5721687 7999515 8154095 9536145 12884715 14677371 24462285 28608435 37508837 73386855 112526511 187544185 337579533 562632555 1687897665