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1683457006 = 271137439673
BaseRepresentation
bin110010001010111…
…1000001111101110
311100022201110212111
41210111320033232
511421431111011
6435014154234
756501101630
oct14425701756
94308643774
101683457006
117942a4190
123ab95297a
1320aa0680a
1411d81aa50
159cbd7121
hex645783ee

1683457006 has 64 divisors (see below), whose sum is σ = 3245552640. Its totient is φ = 635765760.

The previous prime is 1683456997. The next prime is 1683457037. The reversal of 1683457006 is 6007543861.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1683457006.

It is a congruent number.

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, 2501086 + ... + 2501758.

It is an arithmetic number, because the mean of its divisors is an integer number (50711760).

Almost surely, 21683457006 is an apocalyptic number.

1683457006 is a deficient number, since it is larger than the sum of its proper divisors (1562095634).

1683457006 is a wasteful number, since it uses less digits than its factorization.

1683457006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169.

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 1683457006 is about 41029.9525468894. The cubic root of 1683457006 is about 1189.5992356188.

The spelling of 1683457006 in words is "one billion, six hundred eighty-three million, four hundred fifty-seven thousand, six".

Divisors: 1 2 7 11 14 22 37 74 77 154 259 407 439 518 673 814 878 1346 2849 3073 4711 4829 5698 6146 7403 9422 9658 14806 16243 24901 32486 33803 49802 51821 67606 103642 113701 174307 178673 227402 273911 295447 348614 357346 547822 590894 1250711 1917377 2068129 2501422 3249917 3834754 4136258 6499834 10931539 21863078 22749419 45498838 76520773 120246929 153041546 240493858 841728503 1683457006