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8669779668 = 223211199110017
BaseRepresentation
bin10000001001100001…
…00101011011010100
3211101012201102212200
420010300211123110
5120223430422133
63552143244500
7424562624364
oct100460453324
924335642780
108669779668
113749956870
12181b5a9730
13a82231154
145c36169a4
1535b1ed913
hex204c256d4

8669779668 has 72 divisors (see below), whose sum is σ = 24027931200. Its totient is φ = 2613980160.

The previous prime is 8669779661. The next prime is 8669779687.

8669779668 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8669779596 and 8669779605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8669779661) 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 23 ways as a sum of consecutive naturals, for example, 23796 + ... + 133812.

Almost surely, 28669779668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8669779668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12013965600).

8669779668 is an abundant number, since it is smaller than the sum of its proper divisors (15358151532).

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

8669779668 is a wasteful number, since it uses less digits than its factorization.

8669779668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110237 (or 110232 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The square root of 8669779668 is about 93111.6516231991. The cubic root of 8669779668 is about 2054.3259564990.

The spelling of 8669779668 in words is "eight billion, six hundred sixty-nine million, seven hundred seventy-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 199 396 398 597 796 1194 1791 2189 2388 3582 4378 6567 7164 8756 13134 19701 26268 39402 78804 110017 220034 330051 440068 660102 990153 1210187 1320204 1980306 2420374 3630561 3960612 4840748 7261122 10891683 14522244 21783366 21893383 43566732 43786766 65680149 87573532 131360298 197040447 240827213 262720596 394080894 481654426 722481639 788161788 963308852 1444963278 2167444917 2889926556 4334889834 8669779668