Search a number
-
+
82693599681 = 37111746345481
BaseRepresentation
bin100110100000011101…
…1000011000111000001
321220110001121010010010
41031000323003013001
52323324030142211
6101553334455133
75655136666620
oct1150073030701
9256401533103
1082693599681
1132085421420
1214039b044a9
137a4b1ba294
1440067c36b7
15223ebdc4a6
hex1340ec31c1

82693599681 has 64 divisors (see below), whose sum is σ = 145868414976. Its totient is φ = 40342579200.

The previous prime is 82693599589. The next prime is 82693599707. The reversal of 82693599681 is 18699539628.

It is not a de Polignac number, because 82693599681 - 211 = 82693597633 is a prime.

It is a super-2 number, since 2×826935996812 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82693599181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1795461 + ... + 1840941.

It is an arithmetic number, because the mean of its divisors is an integer number (2279193984).

Almost surely, 282693599681 is an apocalyptic number.

It is an amenable number.

82693599681 is a deficient number, since it is larger than the sum of its proper divisors (63174815295).

82693599681 is a wasteful number, since it uses less digits than its factorization.

82693599681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45982.

The product of its digits is 50388480, while the sum is 66.

The spelling of 82693599681 in words is "eighty-two billion, six hundred ninety-three million, five hundred ninety-nine thousand, six hundred eighty-one".

Divisors: 1 3 7 11 17 21 33 51 77 119 187 231 357 463 561 1309 1389 3241 3927 5093 7871 9723 15279 23613 35651 45481 55097 86581 106953 136443 165291 259743 318367 500291 606067 773177 955101 1500873 1818201 2319531 3502037 5412239 8504947 10506111 16236717 21057703 25514841 59534629 63173109 147403921 178603887 231634733 357980951 442211763 694904199 1073942853 1621443131 2505866657 3937790461 4864329393 7517599971 11813371383 27564533227 82693599681