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14684949552 = 243731368611
BaseRepresentation
bin11011010110100101…
…01000110000110000
31101220102022201201110
431223102220300300
5220033321341202
610425101233320
71026623004000
oct155322506060
941812281643
1014684949552
1162562a8a49
122a19b62840
1315004ab980
149d4454000
155ae33126c
hex36b4a8c30

14684949552 has 160 divisors (see below), whose sum is σ = 47644172800. Its totient is φ = 3872897280.

The previous prime is 14684949551. The next prime is 14684949583. The reversal of 14684949552 is 25594948641.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14684949492 and 14684949501.

It is not an unprimeable number, because it can be changed into a prime (14684949551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179727 + ... + 248337.

It is an arithmetic number, because the mean of its divisors is an integer number (297776080).

Almost surely, 214684949552 is an apocalyptic number.

14684949552 is a gapful number since it is divisible by the number (12) 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 14684949552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23822086400).

14684949552 is an abundant number, since it is smaller than the sum of its proper divisors (32959223248).

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

14684949552 is a wasteful number, since it uses less digits than its factorization.

14684949552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68656 (or 68636 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 57.

The spelling of 14684949552 in words is "fourteen billion, six hundred eighty-four million, nine hundred forty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 343 364 392 546 588 624 637 686 728 784 1029 1092 1176 1274 1372 1456 1911 2058 2184 2352 2548 2744 3822 4116 4368 4459 5096 5488 7644 8232 8918 10192 13377 15288 16464 17836 26754 30576 35672 53508 68611 71344 107016 137222 205833 214032 274444 411666 480277 548888 823332 891943 960554 1097776 1440831 1646664 1783886 1921108 2675829 2881662 3293328 3361939 3567772 3842216 5351658 5763324 6243601 6723878 7135544 7684432 10085817 10703316 11526648 12487202 13447756 14271088 18730803 20171634 21406632 23053296 23533573 24974404 26895512 37461606 40343268 42813264 43705207 47067146 49948808 53791024 70600719 74923212 80686536 87410414 94134292 99897616 131115621 141201438 149846424 161373072 174820828 188268584 262231242 282402876 299692848 305936449 349641656 376537168 524462484 564805752 611872898 699283312 917809347 1048924968 1129611504 1223745796 1835618694 2097849936 2447491592 3671237388 4894983184 7342474776 14684949552