Search a number
-
+
14687397069100 = 22527294316825979
BaseRepresentation
bin1101010110111010110100…
…0101011100000100101100
31221000002201221210010102221
43111232231011130010230
53411114242122202400
651123144055525124
73044062251133240
oct325565505340454
957002657703387
1014687397069100
114752987822808
1217926236897a4
13827028375712
1438ac33a48420
151a70bd838c1a
hexd5bad15c12c

14687397069100 has 144 divisors (see below), whose sum is σ = 38557069689600. Its totient is φ = 4748964030720.

The previous prime is 14687397069053. The next prime is 14687397069127. The reversal of 14687397069100 is 196079378641.

14687397069100 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7540090 + ... + 9285889.

It is an arithmetic number, because the mean of its divisors is an integer number (267757428400).

Almost surely, 214687397069100 is an apocalyptic number.

14687397069100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14687397069100 is an abundant number, since it is smaller than the sum of its proper divisors (23869672620500).

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

14687397069100 is a wasteful number, since it uses less digits than its factorization.

14687397069100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16826072 (or 16826065 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 61.

The spelling of 14687397069100 in words is "fourteen trillion, six hundred eighty-seven billion, three hundred ninety-seven million, sixty-nine thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 43 50 58 70 86 100 116 140 145 172 175 203 215 290 301 350 406 430 580 602 700 725 812 860 1015 1075 1204 1247 1450 1505 2030 2150 2494 2900 3010 4060 4300 4988 5075 6020 6235 7525 8729 10150 12470 15050 17458 20300 24940 30100 31175 34916 43645 62350 87290 124700 174580 218225 436450 872900 16825979 33651958 67303916 84129895 117781853 168259790 235563706 336519580 420649475 471127412 487953391 588909265 723517097 841298950 975906782 1177818530 1447034194 1682597900 1951813564 2355637060 2439766955 2894068388 2944546325 3415673737 3617585485 4879533910 5064619679 5889092650 6831347474 7235170970 9759067820 10129239358 11778185300 12198834775 13662694948 14470341940 17078368685 18087927425 20258478716 20981995813 24397669550 25323098395 34156737370 36175854850 41963991626 48795339100 50646196790 68313474740 72351709700 83927983252 85391843425 101292393580 104909979065 126615491975 146873970691 170783686850 209819958130 253230983950 293747941382 341567373700 419639916260 506461967900 524549895325 587495882764 734369853455 1049099790650 1468739706910 2098199581300 2937479413820 3671849267275 7343698534550 14687397069100