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2007061686 = 233711294703
BaseRepresentation
bin111011110100001…
…0101010010110110
312011212122022001000
41313220111102312
513102301433221
6531054144130
7100510512540
oct16750252266
95155568030
102007061686
1193aa30173
124801b2046
1325ca7a686
141507b6690
15bb309e26
hex77a154b6

2007061686 has 64 divisors (see below), whose sum is σ = 5102899200. Its totient is φ = 572816448.

The previous prime is 2007061681. The next prime is 2007061709. The reversal of 2007061686 is 6861607002.

It is a happy number.

It is a super-2 number, since 2×20070616862 = 8056593222818325192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2007061686.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007061681) 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 31 ways as a sum of consecutive naturals, for example, 424411 + ... + 429113.

It is an arithmetic number, because the mean of its divisors is an integer number (79732800).

Almost surely, 22007061686 is an apocalyptic number.

2007061686 is an abundant number, since it is smaller than the sum of its proper divisors (3095837514).

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

2007061686 is a wasteful number, since it uses less digits than its factorization.

2007061686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850 (or 5844 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2007061686 is about 44800.2420305962. The cubic root of 2007061686 is about 1261.4021692002.

Adding to 2007061686 its reverse (6861607002), we get a palindrome (8868668688).

The spelling of 2007061686 in words is "two billion, seven million, sixty-one thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1129 2258 3387 4703 6774 7903 9406 10161 14109 15806 20322 23709 28218 30483 32921 42327 47418 60966 65842 71127 84654 98763 126981 142254 197526 213381 253962 296289 426762 592578 888867 1777734 5309687 10619374 15929061 31858122 37167809 47787183 74335618 95574366 111503427 143361549 223006854 286723098 334510281 669020562 1003530843 2007061686