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668847666748866 = 231121341168695681
BaseRepresentation
bin1001100000010100000011101…
…1100101011101110111000010
310020201012012201220012120022120
42120011000323211131313002
51200131400010141430431
610330304213135145110
7260611435461012363
oct23005007345356702
93221165656176276
10668847666748866
1118412a780069a00
12630231aa375196
13229290ab480777
14bb24585093b6a
15524d3e1ace196
hex260503b95ddc2

668847666748866 has 48 divisors (see below), whose sum is σ = 1470468993226464. Its totient is φ = 202665995136000.

The previous prime is 668847666748837. The next prime is 668847666748871.

It is a happy number.

668847666748866 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24611455 + ... + 44084226.

It is an arithmetic number, because the mean of its divisors is an integer number (30634770692218).

Almost surely, 2668847666748866 is an apocalyptic number.

668847666748866 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

668847666748866 is an abundant number, since it is smaller than the sum of its proper divisors (801621326477598).

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

668847666748866 is a wasteful number, since it uses less digits than its factorization.

668847666748866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68709119 (or 68709108 counting only the distinct ones).

The product of its digits is 898948399104, while the sum is 96.

The spelling of 668847666748866 in words is "six hundred sixty-eight trillion, eight hundred forty-seven billion, six hundred sixty-six million, seven hundred forty-eight thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 13411 26822 40233 80466 147521 295042 442563 885126 1622731 3245462 4868193 9736386 68695681 137391362 206087043 412174086 755652491 1511304982 2266957473 4533914946 8312177401 16624354802 24936532203 49873064406 921277777891 1842555555782 2763833333673 5527666667346 10134055556801 20268111113602 30402166670403 60804333340806 111474611124811 222949222249622 334423833374433 668847666748866