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14453651820 = 223513112171511
BaseRepresentation
bin11010111011000000…
…10011100101101100
31101022022002120212210
431131200103211230
5214100113324240
610350115530420
71021114004406
oct153540234554
941268076783
1014453651820
1161477895a3
1229745b9a10
1314945b6aca
149b1845b76
15598d93780
hex35d81396c

14453651820 has 96 divisors (see below), whose sum is σ = 40839676416. Its totient is φ = 3819212800.

The previous prime is 14453651803. The next prime is 14453651867. The reversal of 14453651820 is 2815635441.

14453651820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 9564865 + ... + 9566375.

It is an arithmetic number, because the mean of its divisors is an integer number (425413296).

Almost surely, 214453651820 is an apocalyptic number.

14453651820 is a gapful number since it is divisible by the number (10) 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 14453651820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20419838208).

14453651820 is an abundant number, since it is smaller than the sum of its proper divisors (26386024596).

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

14453651820 is a wasteful number, since it uses less digits than its factorization.

14453651820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 14453651820 in words is "fourteen billion, four hundred fifty-three million, six hundred fifty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1217 1310 1511 1572 1965 2434 2620 3022 3651 3930 4533 4868 6044 6085 7302 7555 7860 9066 12170 14604 15110 18132 18255 22665 24340 30220 36510 45330 73020 90660 159427 197941 318854 395882 478281 593823 637708 791764 797135 956562 989705 1187646 1594270 1838887 1913124 1979410 2375292 2391405 2969115 3188540 3677774 3958820 4782810 5516661 5938230 7355548 9194435 9565620 11033322 11876460 18388870 22066644 27583305 36777740 55166610 110333220 240894197 481788394 722682591 963576788 1204470985 1445365182 2408941970 2890730364 3613412955 4817883940 7226825910 14453651820