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8696666968 = 2311537923603
BaseRepresentation
bin10000001100101110…
…01001101101011000
3211110002022110022121
420012113021231120
5120302321320333
63554543431024
7425340310123
oct100627115530
924402273277
108696666968
113763050680
1218285b5474
13a879863b2
145c70153ba
1535d76032d
hex2065c9b58

8696666968 has 64 divisors (see below), whose sum is σ = 18354470400. Its totient is φ = 3829188480.

The previous prime is 8696666963. The next prime is 8696667013.

8696666968 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8696666897 and 8696666906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8696666963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356655 + ... + 380257.

It is an arithmetic number, because the mean of its divisors is an integer number (286788600).

Almost surely, 28696666968 is an apocalyptic number.

8696666968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8696666968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9177235200).

8696666968 is an abundant number, since it is smaller than the sum of its proper divisors (9657803432).

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

8696666968 is a wasteful number, since it uses less digits than its factorization.

8696666968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23752 (or 23748 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 70.

The square root of 8696666968 is about 93255.9218923924. The cubic root of 8696666968 is about 2056.4474358907.

The spelling of 8696666968 in words is "eight billion, six hundred ninety-six million, six hundred sixty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 53 79 88 106 158 212 316 424 583 632 869 1166 1738 2332 3476 4187 4664 6952 8374 16748 23603 33496 46057 47206 92114 94412 184228 188824 259633 368456 519266 1038532 1250959 1864637 2077064 2501918 3729274 5003836 7458548 10007672 13760549 14917096 20511007 27521098 41022014 55042196 82044028 98825761 110084392 164088056 197651522 395303044 790606088 1087083371 2174166742 4348333484 8696666968