Search a number
-
+
14768998609288 = 23711671432724977
BaseRepresentation
bin1101011011101010110011…
…1010100111000110001000
31221021220100220110212120011
43112322230322213012020
53413433402120444123
651224441224041304
73053011360601230
oct326725472470610
957256326425504
1014768998609288
114784551762720
1217a63b7903234
13831931232341
14390b75398cc0
151a929770ce0d
hexd6eacea7188

14768998609288 has 128 divisors (see below), whose sum is σ = 35044078049280. Its totient is φ = 5667649827840.

The previous prime is 14768998609243. The next prime is 14768998609297. The reversal of 14768998609288 is 88290689986741.

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 31 ways as a sum of consecutive naturals, for example, 591291456 + ... + 591316432.

It is an arithmetic number, because the mean of its divisors is an integer number (273781859760).

Almost surely, 214768998609288 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 14768998609288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17522039024640).

14768998609288 is an abundant number, since it is smaller than the sum of its proper divisors (20275079439992).

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

14768998609288 is a wasteful number, since it uses less digits than its factorization.

14768998609288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39395 (or 39391 counting only the distinct ones).

The product of its (nonzero) digits is 6019743744, while the sum is 85.

The spelling of 14768998609288 in words is "fourteen trillion, seven hundred sixty-eight billion, nine hundred ninety-eight million, six hundred nine thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 67 77 88 134 154 268 308 469 536 616 737 938 1474 1876 2948 3752 5159 5896 10318 14327 20636 24977 28654 41272 49954 57308 99908 100289 114616 157597 174839 199816 200578 274747 315194 349678 401156 549494 630388 699356 802312 959909 1098988 1103179 1260776 1398712 1673459 1919818 1923229 2197976 2206358 3346918 3839636 3846458 4412716 6693836 6719363 7679272 7692916 8825432 10558999 11714213 13387672 13438726 15385832 18408049 21117998 23428426 26877452 36816098 42235996 46856852 53754904 73632196 73912993 84471992 93713704 128856343 147264392 147825986 257712686 295651972 357845479 515425372 591303944 715690958 1030850744 1431381916 2504918353 2862763832 3936300269 5009836706 7872600538 10019673412 15745201076 20039346824 23975647093 27554101883 31490402152 47951294186 55108203766 95902588372 110216407532 167829529651 191805176744 220432815064 263732118023 335659059302 527464236046 671318118604 1054928472092 1342636237208 1846124826161 2109856944184 3692249652322 7384499304644 14768998609288