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12641690439 = 337476612153
BaseRepresentation
bin10111100011000000…
…01110001101000111
31012122000120102011000
423301200032031013
5201342233043224
65450231144343
7625162411230
oct136140161507
935560512130
1012641690439
1153a79a5154
1225498150b3
131266099501
1487cd38087
154dec760c9
hex2f180e347

12641690439 has 64 divisors (see below), whose sum is σ = 21902561280. Its totient is φ = 7056149760.

The previous prime is 12641690431. The next prime is 12641690459. The reversal of 12641690439 is 93409614621.

12641690439 is a `hidden beast` number, since 126 + 4 + 1 + 6 + 90 + 439 = 666.

It is not a de Polignac number, because 12641690439 - 23 = 12641690431 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12641690394 and 12641690403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12641690431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5870587 + ... + 5872739.

It is an arithmetic number, because the mean of its divisors is an integer number (342227520).

Almost surely, 212641690439 is an apocalyptic number.

12641690439 is a deficient number, since it is larger than the sum of its proper divisors (9260870841).

12641690439 is a wasteful number, since it uses less digits than its factorization.

12641690439 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 12641690439 in words is "twelve billion, six hundred forty-one million, six hundred ninety thousand, four hundred thirty-nine".

Divisors: 1 3 7 9 21 27 47 63 141 189 329 423 661 987 1269 1983 2153 2961 4627 5949 6459 8883 13881 15071 17847 19377 31067 41643 45213 58131 93201 101191 124929 135639 217469 279603 303573 406917 652407 708337 838809 910719 1423133 1957221 2125011 2732157 4269399 5871663 6375033 9961931 12808197 19125099 29885793 38424591 66887251 89657379 200661753 268972137 468210757 601985259 1404632271 1805955777 4213896813 12641690439