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12467966431 = 237122733359
BaseRepresentation
bin10111001110010011…
…00001000111011111
31012011220200022121111
423213021201013133
5201013244411211
65421103442451
7620652652234
oct134711410737
935156608544
1012467966431
115318929798
1224bb5b6427
1312390b213b
14863c3578b
154ce8ac421
hex2e72611df

12467966431 has 16 divisors (see below), whose sum is σ = 13203025920. Its totient is φ = 11749239040.

The previous prime is 12467966387. The next prime is 12467966449. The reversal of 12467966431 is 13466976421.

It is not a de Polignac number, because 12467966431 - 225 = 12434411999 is a prime.

It is a super-2 number, since 2×124679664312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12467966471) 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 15 ways as a sum of consecutive naturals, for example, 3710130 + ... + 3713488.

It is an arithmetic number, because the mean of its divisors is an integer number (825189120).

Almost surely, 212467966431 is an apocalyptic number.

12467966431 is a deficient number, since it is larger than the sum of its proper divisors (735059489).

12467966431 is a wasteful number, since it uses less digits than its factorization.

12467966431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726.

The product of its digits is 1306368, while the sum is 49.

The spelling of 12467966431 in words is "twelve billion, four hundred sixty-seven million, nine hundred sixty-six thousand, four hundred thirty-one".

Divisors: 1 23 71 1633 2273 3359 52279 77257 161383 238489 3711809 5485247 7635007 175605161 542085497 12467966431