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12463431309 = 337283113501
BaseRepresentation
bin10111001101110000…
…01101111010001101
31012011121010220121000
423212320031322031
5201011114300214
65420422330513
7620566263300
oct134670157215
935147126530
1012463431309
11531631145a
1224b9b89a39
131238184b34
148633b4b37
154ce2b3809
hex2e6e0de8d

12463431309 has 48 divisors (see below), whose sum is σ = 21737903040. Its totient is φ = 7036092000.

The previous prime is 12463431271. The next prime is 12463431313. The reversal of 12463431309 is 90313436421.

12463431309 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 343 + 1 + 309 = 666.

It is not a de Polignac number, because 12463431309 - 220 = 12462382733 is a prime.

It is a super-2 number, since 2×124634313092 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12463431319) by changing a digit.

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, 53059 + ... + 166559.

It is an arithmetic number, because the mean of its divisors is an integer number (452872980).

Almost surely, 212463431309 is an apocalyptic number.

It is an amenable number.

12463431309 is a deficient number, since it is larger than the sum of its proper divisors (9274471731).

12463431309 is a wasteful number, since it uses less digits than its factorization.

12463431309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113607 (or 113594 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 12463431309 in words is "twelve billion, four hundred sixty-three million, four hundred thirty-one thousand, three hundred nine".

Divisors: 1 3 7 9 21 27 49 63 83 147 189 249 441 581 747 1323 1743 2241 4067 5229 12201 15687 36603 109809 113501 340503 794507 1021509 2383521 3064527 5561549 7150563 9420583 16684647 21451689 28261749 50053941 65944081 84785247 150161823 197832243 254355741 461608567 593496729 1384825701 1780490187 4154477103 12463431309