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696666696 = 233113113193
BaseRepresentation
bin101001100001100…
…100101001001000
31210112220100001020
4221201210221020
52411321313241
6153043552440
723156366145
oct5141445110
91715810036
10696666696
11328283000
1217538b720
13b144311b
146874b3cc
1541264b66
hex29864a48

696666696 has 128 divisors (see below), whose sum is σ = 1942669440. Its totient is φ = 208158720.

The previous prime is 696666683. The next prime is 696666703.

696666696 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3609576 + ... + 3609768.

It is an arithmetic number, because the mean of its divisors is an integer number (15177105).

Almost surely, 2696666696 is an apocalyptic number.

696666696 is a gapful number since it is divisible by the number (66) 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 696666696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971334720).

696666696 is an abundant number, since it is smaller than the sum of its proper divisors (1246002744).

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

696666696 is a wasteful number, since it uses less digits than its factorization.

696666696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 322 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 60.

The square root of 696666696 is about 26394.4444154447. Note that the first 4 decimals coincide. The cubic root of 696666696 is about 886.4923997187.

The spelling of 696666696 in words is "six hundred ninety-six million, six hundred sixty-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 113 121 132 193 226 242 264 339 363 386 452 484 579 678 726 772 904 968 1158 1243 1331 1356 1452 1544 2123 2316 2486 2662 2712 2904 3729 3993 4246 4632 4972 5324 6369 7458 7986 8492 9944 10648 12738 13673 14916 15972 16984 21809 23353 25476 27346 29832 31944 41019 43618 46706 50952 54692 65427 70059 82038 87236 93412 109384 130854 140118 150403 164076 174472 186824 239899 256883 261708 280236 300806 328152 451209 479798 513766 523416 560472 601612 719697 770649 902418 959596 1027532 1203224 1439394 1541298 1804836 1919192 2055064 2638889 2878788 3082596 3609672 5277778 5757576 6165192 7916667 10555556 15833334 21111112 29027779 31666668 58055558 63333336 87083337 116111116 174166674 232222232 348333348 696666696