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23126056245 = 32519591134057
BaseRepresentation
bin10101100010011010…
…111001110100110101
32012200200202101020200
4111202122321310311
5334330232244440
614342435351113
71446041143335
oct254232716465
965620671220
1023126056245
119898068386
124594a52499
132247226866
1411955430c5
1590540ec30
hex5626b9d35

23126056245 has 96 divisors (see below), whose sum is σ = 43300483200. Its totient is φ = 11382239232.

The previous prime is 23126056211. The next prime is 23126056259. The reversal of 23126056245 is 54265062132.

23126056245 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 605 + 6 + 2 + 45 = 666.

It is not a de Polignac number, because 23126056245 - 28 = 23126055989 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 5698257 + ... + 5702313.

It is an arithmetic number, because the mean of its divisors is an integer number (451046700).

Almost surely, 223126056245 is an apocalyptic number.

It is an amenable number.

23126056245 is a deficient number, since it is larger than the sum of its proper divisors (20174426955).

23126056245 is a wasteful number, since it uses less digits than its factorization.

23126056245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 23126056245 in words is "twenty-three billion, one hundred twenty-six million, fifty-six thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 19 45 57 59 95 113 171 177 285 295 339 531 565 855 885 1017 1121 1695 2147 2655 3363 4057 5085 5605 6441 6667 10089 10735 12171 16815 19323 20001 20285 32205 33335 36513 50445 60003 60855 77083 96615 100005 126673 182565 231249 239363 300015 380019 385415 458441 633365 693747 718089 1140057 1156245 1196815 1375323 1900095 2154267 2292205 3468735 3590445 4125969 4547897 5700285 6876615 8710379 10771335 13643691 20629845 22739485 26131137 27048019 40931073 43551895 68218455 78393411 81144057 130655685 135240095 204655365 243432171 391967055 405720285 513912361 1217160855 1541737083 2569561805 4625211249 7708685415 23126056245