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12465907389 = 3213434315749
BaseRepresentation
bin10111001110000011…
…01010011010111101
31012011202210201010200
423213001222122331
5201012233014024
65420551354113
7620626315215
oct134701523275
935152721120
1012465907389
115317752801
1224ba982939
131238840b80
1486385b245
154ce6022c9
hex2e706a6bd

12465907389 has 48 divisors (see below), whose sum is σ = 19891872000. Its totient is φ = 7474239360.

The previous prime is 12465907367. The next prime is 12465907403. The reversal of 12465907389 is 98370956421.

12465907389 is a `hidden beast` number, since 1 + 2 + 46 + 590 + 7 + 3 + 8 + 9 = 666.

It is not a de Polignac number, because 12465907389 - 27 = 12465907261 is a prime.

It is a super-2 number, since 2×124659073892 (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 (12465907789) 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, 2165487 + ... + 2171235.

It is an arithmetic number, because the mean of its divisors is an integer number (414414000).

It is a 1-persistent number, because it is pandigital, but 2⋅12465907389 = 24931814778 is not.

Almost surely, 212465907389 is an apocalyptic number.

It is an amenable number.

12465907389 is a deficient number, since it is larger than the sum of its proper divisors (7425964611).

12465907389 is a wasteful number, since it uses less digits than its factorization.

12465907389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6242 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 12465907389 in words is "twelve billion, four hundred sixty-five million, nine hundred seven thousand, three hundred eighty-nine".

Divisors: 1 3 9 13 39 43 117 129 387 431 559 1293 1677 3879 5031 5603 5749 16809 17247 18533 50427 51741 55599 74737 166797 224211 240929 247207 672633 722787 741621 2168361 2224863 2477819 3213691 7433457 9641073 22300371 28923219 32211647 96634941 106546217 289904823 319638651 958915953 1385100821 4155302463 12465907389