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12685108464 = 2433714532887
BaseRepresentation
bin10111101000001011…
…10110010011110000
31012202001021021111000
423310011312103300
5201434341432324
65454421522000
7626230433340
oct136405662360
935661237430
1012685108464
11541a45a816
122560273300
13127208ba52
148849dad20
154e39a09c9
hex2f41764f0

12685108464 has 160 divisors (see below), whose sum is σ = 41655587840. Its totient is φ = 3620567808.

The previous prime is 12685108463. The next prime is 12685108477. The reversal of 12685108464 is 46480158621.

It is a happy number.

12685108464 is a `hidden beast` number, since 1 + 2 + 6 + 85 + 108 + 464 = 666.

12685108464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12685108463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4392429 + ... + 4395315.

It is an arithmetic number, because the mean of its divisors is an integer number (260347424).

Almost surely, 212685108464 is an apocalyptic number.

12685108464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12685108464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20827793920).

12685108464 is an abundant number, since it is smaller than the sum of its proper divisors (28970479376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12685108464 is a wasteful number, since it uses less digits than its factorization.

12685108464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 12685108464 in words is "twelve billion, six hundred eighty-five million, one hundred eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1453 1512 2887 2906 3024 4359 5774 5812 8661 8718 10171 11548 11624 13077 17322 17436 20209 20342 23096 23248 25983 26154 30513 34644 34872 39231 40418 40684 46192 51966 52308 60627 61026 69288 69744 77949 78462 80836 81368 91539 103932 104616 121254 122052 138576 155898 156924 161672 162736 181881 183078 207864 209232 242508 244104 274617 311796 313848 323344 363762 366156 415728 485016 488208 545643 549234 623592 627696 727524 732312 970032 1091286 1098468 1247184 1455048 1464624 2182572 2196936 2910096 4194811 4365144 4393872 8389622 8730288 12584433 16779244 25168866 29363677 33558488 37753299 50337732 58727354 67116976 75506598 88091031 100675464 113259897 117454708 151013196 176182062 201350928 226519794 234909416 264273093 302026392 352364124 453039588 469818832 528546186 604052784 704728248 792819279 906079176 1057092372 1409456496 1585638558 1812158352 2114184744 3171277116 4228369488 6342554232 12685108464