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505265225223 = 31123198345677
BaseRepresentation
bin1110101101001000010…
…01110111111000000111
31210022011210122212102010
413112210021313320013
531234240344201343
61024040551145303
751334641360243
oct7264411677007
91708153585363
10505265225223
11185311058100
1281b10375233
1338852c20065
141a652605423
15d222ec9d33
hex75a4277e07

505265225223 has 48 divisors (see below), whose sum is σ = 765180315648. Its totient is φ = 296035291200.

The previous prime is 505265225221. The next prime is 505265225237. The reversal of 505265225223 is 322522562505.

It is not a de Polignac number, because 505265225223 - 21 = 505265225221 is a prime.

It is a super-3 number, since 3×5052652252233 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505265225221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11038861 + ... + 11084537.

It is an arithmetic number, because the mean of its divisors is an integer number (15941256576).

Almost surely, 2505265225223 is an apocalyptic number.

505265225223 is a deficient number, since it is larger than the sum of its proper divisors (259915090425).

505265225223 is a wasteful number, since it uses less digits than its factorization.

505265225223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46716 (or 46705 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 39.

Adding to 505265225223 its reverse (322522562505), we get a palindrome (827787787728).

The spelling of 505265225223 in words is "five hundred five billion, two hundred sixty-five million, two hundred twenty-five thousand, two hundred twenty-three".

Divisors: 1 3 11 31 33 93 121 341 363 983 1023 2949 3751 10813 11253 30473 32439 45677 91419 118943 137031 335203 356829 502447 1005609 1415987 1507341 3687233 4247961 5526917 11061699 15575857 16580751 44900491 46727571 134701473 171334427 493905401 514003281 1391915221 1481716203 4175745663 5432959411 15311067431 16298878233 45933202293 168421741741 505265225223