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14682387603328 = 27435574789201
BaseRepresentation
bin1101010110101000001001…
…1111110101111110000000
31220222121210211120220021121
43111222002133311332000
53411024012211301303
651120555025402024
73043524152312614
oct325520237657600
956877724526247
1014682387603328
11475084703aa55
121791665a99314
1382670a5814a3
1438a8ba601344
151a6dc8b629bd
hexd5a827f5f80

14682387603328 has 64 divisors (see below), whose sum is σ = 29984044313520. Its totient is φ = 7157593497600.

The previous prime is 14682387603311. The next prime is 14682387603343. The reversal of 14682387603328 is 82330678328641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 671128 + ... + 5460328.

Almost surely, 214682387603328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14682387603328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14992022156760).

14682387603328 is an abundant number, since it is smaller than the sum of its proper divisors (15301656710192).

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

14682387603328 is an equidigital number, since it uses as much as digits as its factorization.

14682387603328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789815 (or 4789803 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 61.

The spelling of 14682387603328 in words is "fourteen trillion, six hundred eighty-two billion, three hundred eighty-seven million, six hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 557 688 1114 1376 2228 2752 4456 5504 8912 17824 23951 35648 47902 71296 95804 191608 383216 766432 1532864 3065728 4789201 9578402 19156804 38313608 76627216 153254432 205935643 306508864 411871286 613017728 823742572 1647485144 2667584957 3294970288 5335169914 6589940576 10670339828 13179881152 21340679656 26359762304 42681359312 85362718624 114706153151 170725437248 229412306302 341450874496 458824612604 917649225208 1835298450416 3670596900832 7341193801664 14682387603328