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1686290957 = 1324724517
BaseRepresentation
bin110010010000010…
…1100001000001101
311100112001110022122
41210200230020031
511423142302312
6435155022325
756534144111
oct14440541015
94315043278
101686290957
1179595a39a
123b089a9a5
1320b489700
1411dd57741
159d096b72
hex6482c20d

1686290957 has 18 divisors (see below), whose sum is σ = 1866074058. Its totient is φ = 1523120352.

The previous prime is 1686290953. The next prime is 1686290959. The reversal of 1686290957 is 7590926861.

It can be written as a sum of positive squares in 3 ways, for example, as 208196041 + 1478094916 = 14429^2 + 38446^2 .

It is not a de Polignac number, because 1686290957 - 22 = 1686290953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1686290899 and 1686290908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1686290951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 371063 + ... + 375579.

It is an arithmetic number, because the mean of its divisors is an integer number (103670781).

Almost surely, 21686290957 is an apocalyptic number.

It is an amenable number.

1686290957 is a deficient number, since it is larger than the sum of its proper divisors (179783101).

1686290957 is an equidigital number, since it uses as much as digits as its factorization.

1686290957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 53.

The square root of 1686290957 is about 41064.4731732918. The cubic root of 1686290957 is about 1190.2663897656.

The spelling of 1686290957 in words is "one billion, six hundred eighty-six million, two hundred ninety thousand, nine hundred fifty-seven".

Divisors: 1 13 47 169 611 2209 4517 7943 28717 58721 212299 373321 763373 2759887 9978053 35878531 129714689 1686290957