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6688949796 = 22324323172
BaseRepresentation
bin1100011101011000…
…10100011000100100
3122021011102212010100
412032230110120210
5102144332343141
63023423224100
7324521064234
oct61654243044
918234385110
106688949796
112922812a91
121368148030
13827a39579
1447650bcc4
152923760b6
hex18eb14624

6688949796 has 81 divisors (see below), whose sum is σ = 17365316241. Its totient is φ = 2170927584.

The previous prime is 6688949737. The next prime is 6688949801. The reversal of 6688949796 is 6979498866.

The square root of 6688949796 is 81786.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 374422500 + 6314527296 = 19350^2 + 79464^2 .

It is a super-3 number, since 3×66889497963 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21100630 + ... + 21100946.

Almost surely, 26688949796 is an apocalyptic number.

6688949796 is the 81786-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6688949796

6688949796 is an abundant number, since it is smaller than the sum of its proper divisors (10676366445).

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

6688949796 is a wasteful number, since it uses less digits than its factorization.

6688949796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 365 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The cubic root of 6688949796 is about 1884.1666485446.

It can be divided in two parts, 6688 and 949796, that added together give a square (956484 = 9782).

The spelling of 6688949796 in words is "six billion, six hundred eighty-eight million, nine hundred forty-nine thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 317 387 516 634 774 951 1268 1548 1849 1902 2853 3698 3804 5547 5706 7396 11094 11412 13631 16641 22188 27262 33282 40893 54524 66564 81786 100489 122679 163572 200978 245358 301467 401956 490716 586133 602934 904401 1172266 1205868 1758399 1808802 2344532 3516798 3617604 4321027 5275197 7033596 8642054 10550394 12963081 17284108 21100788 25926162 38889243 51852324 77778486 155556972 185804161 371608322 557412483 743216644 1114824966 1672237449 2229649932 3344474898 6688949796