Search a number
-
+
41803482681 = 321721922112
BaseRepresentation
bin100110111011101011…
…101000011000111001
310222220100121221122100
4212323223220120321
51141103142421211
631112041414013
73006633511542
oct467353503071
9128810557570
1041803482681
1116801a812a4
128127a9a309
133c328c188c
142047d0d4c9
151149ecc156
hex9bbae8639

41803482681 has 81 divisors (see below), whose sum is σ = 68019702543. Its totient is φ = 24731360640.

The previous prime is 41803482667. The next prime is 41803482691. The reversal of 41803482681 is 18628430814.

The square root of 41803482681 is 204459.

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

41803482681 is a `hidden beast` number, since 41 + 8 + 0 + 348 + 268 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32545964025 + 9257518656 = 180405^2 + 96216^2 .

It is not a de Polignac number, because 41803482681 - 25 = 41803482649 is a prime.

It is a super-2 number, since 2×418034826812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41803482641) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 198120666 + ... + 198120876.

Almost surely, 241803482681 is an apocalyptic number.

41803482681 is the 204459-th square number.

41803482681 is the 102230-th centered octagonal number.

It is an amenable number.

41803482681 is a deficient number, since it is larger than the sum of its proper divisors (26216219862).

41803482681 is a wasteful number, since it uses less digits than its factorization.

41803482681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 41803482681 in words is "forty-one billion, eight hundred three million, four hundred eighty-two thousand, six hundred eighty-one".

Divisors: 1 3 9 17 19 51 57 153 171 211 289 323 361 633 867 969 1083 1899 2601 2907 3249 3587 4009 5491 6137 10761 12027 16473 18411 32283 36081 44521 49419 55233 60979 68153 76171 104329 133563 182937 204459 228513 312987 400689 548811 613377 685539 756857 845899 938961 1158601 1294907 2270571 2537697 3475803 3884721 6811713 7613091 10427409 11654163 12866569 14380283 16072081 22013419 38599707 43140849 48216243 66040257 115799121 129422547 144648729 198120771 244464811 273225377 733394433 819676131 2200183299 2459028393 4644831409 13934494227 41803482681