Search a number
-
+
82303223569 = 7598910321739
BaseRepresentation
bin100110010100110100…
…1111000011100010001
321212102212000221202121
41030221221320130101
52322024111123234
6101450511414241
75642356600060
oct1145151703421
9255385027677
1082303223569
11319a502a036
1213b4b224381
1379b83682b8
143daaa061d7
15221a7ca4b4
hex1329a78711

82303223569 has 32 divisors (see below), whose sum is σ = 97673472000. Its totient is φ = 67901860224.

The previous prime is 82303223531. The next prime is 82303223573. The reversal of 82303223569 is 96532230328.

It is a cyclic number.

It is not a de Polignac number, because 82303223569 - 211 = 82303221521 is a prime.

It is a super-2 number, since 2×823032235692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82303224569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3775102 + ... + 3796840.

It is an arithmetic number, because the mean of its divisors is an integer number (3052296000).

Almost surely, 282303223569 is an apocalyptic number.

82303223569 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

82303223569 is a deficient number, since it is larger than the sum of its proper divisors (15370248431).

82303223569 is a wasteful number, since it uses less digits than its factorization.

82303223569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21997.

The product of its (nonzero) digits is 466560, while the sum is 43.

The spelling of 82303223569 in words is "eighty-two billion, three hundred three million, two hundred twenty-three thousand, five hundred sixty-nine".

Divisors: 1 7 59 89 103 413 623 721 5251 6077 9167 21739 36757 42539 64169 152173 540853 1282601 1934771 2239117 3785971 8978207 13543397 15673819 114151489 132107903 199281413 799060423 924755321 1394969891 11757603367 82303223569