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6750101281 = 72114972
BaseRepresentation
bin1100100100101011…
…00101111100100001
3122102102111200012011
412102111211330201
5102311011220111
63033450032521
7326162625400
oct62225457441
918372450164
106750101281
112954290000
121384718741
138375ca691
144806a9637
15297905021
hex192565f21

6750101281 has 45 divisors (see below), whose sum is σ = 8727283395. Its totient is φ = 5205594240.

The previous prime is 6750101273. The next prime is 6750101317. The reversal of 6750101281 is 1821010576.

The square root of 6750101281 is 82159.

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., 3031053025 + 3719048256 = 55055^2 + 60984^2 .

It is not a de Polignac number, because 6750101281 - 23 = 6750101273 is a prime.

It is a super-2 number, since 2×67501012812 = 91127734607515681922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6750101221) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 69588625 + ... + 69588721.

It is an arithmetic number, because the mean of its divisors is an integer number (193939631).

Almost surely, 26750101281 is an apocalyptic number.

6750101281 is the 82159-th square number.

6750101281 is the 41080-th centered octagonal number.

It is an amenable number.

6750101281 is a deficient number, since it is larger than the sum of its proper divisors (1977182114).

6750101281 is an frugal number, since it uses more digits than its factorization.

6750101281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 31.

The cubic root of 6750101281 is about 1889.8910270961.

The spelling of 6750101281 in words is "six billion, seven hundred fifty million, one hundred one thousand, two hundred eighty-one".

Divisors: 1 7 11 49 77 97 121 539 679 847 1067 1331 4753 5929 7469 9317 9409 11737 14641 52283 65219 65863 82159 102487 103499 129107 461041 575113 717409 724493 903749 1138489 1420177 5071451 6326243 7969423 9941239 12523379 55785961 69588673 87663653 137757169 613645571 964300183 6750101281