Search a number
-
+
82183412575 = 52113127135573
BaseRepresentation
bin100110010001010000…
…0110101101101011111
321212010111120220222101
41030202200311231133
52321302423200300
6101430551425531
75636403323635
oct1144240655537
9255114526871
1082183412575
1131943437290
1213b170852a7
1379995a9414
143d98b39355
152210010b6a
hex1322835b5f

82183412575 has 48 divisors (see below), whose sum is σ = 115184627712. Its totient is φ = 57626640000.

The previous prime is 82183412537. The next prime is 82183412587. The reversal of 82183412575 is 57521438128.

It is a happy number.

It is not a de Polignac number, because 82183412575 - 217 = 82183281503 is a prime.

It is a super-2 number, since 2×821834125752 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2292489 + ... + 2328061.

It is an arithmetic number, because the mean of its divisors is an integer number (2399679744).

Almost surely, 282183412575 is an apocalyptic number.

82183412575 is a deficient number, since it is larger than the sum of its proper divisors (33001215137).

82183412575 is a wasteful number, since it uses less digits than its factorization.

82183412575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35896 (or 35891 counting only the distinct ones).

The product of its digits is 537600, while the sum is 46.

The spelling of 82183412575 in words is "eighty-two billion, one hundred eighty-three million, four hundred twelve thousand, five hundred seventy-five".

Divisors: 1 5 11 25 31 55 155 271 275 341 775 1355 1705 2981 6775 8401 8525 14905 35573 42005 74525 92411 177865 210025 391303 462055 889325 1102763 1956515 2310275 5513815 9640283 9782575 12130393 27569075 48201415 60651965 106043113 241007075 298848773 303259825 530215565 1494243865 2651077825 3287336503 7471219325 16436682515 82183412575