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14709808656 = 243611232
BaseRepresentation
bin11011011001100010…
…11101111000010000
31101222011002201000000
431230301131320100
5220111202334111
610431350130000
71030344211344
oct155461357020
941864081000
1014709808656
116269337a64
122a26350900
1315056a39ba
149d7885624
155b15e1c56
hex36cc5de10

14709808656 has 105 divisors (see below), whose sum is σ = 42768918399. Its totient is φ = 4898903328.

The previous prime is 14709808651. The next prime is 14709808681. The reversal of 14709808656 is 65680890741.

The square root of 14709808656 is 121284.

It is a perfect power (a square), and thus also a powerful number.

14709808656 is a `hidden beast` number, since 1 + 470 + 98 + 0 + 86 + 5 + 6 = 666.

14709808656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×147098086562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14709808651) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 13098111 + ... + 13099233.

Almost surely, 214709808656 is an apocalyptic number.

14709808656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14709808656 is the 121284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14709808656

14709808656 is an abundant number, since it is smaller than the sum of its proper divisors (28059109743).

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

14709808656 is an frugal number, since it uses more digits than its factorization.

14709808656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 14709808656 in words is "fourteen billion, seven hundred nine million, eight hundred eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1123 1296 1458 1944 2246 2916 3369 3888 4492 5832 6738 8984 10107 11664 13476 17968 20214 26952 30321 40428 53904 60642 80856 90963 121284 161712 181926 242568 272889 363852 485136 545778 727704 818667 1091556 1261129 1455408 1637334 2183112 2522258 3274668 3783387 4366224 5044516 6549336 7566774 10089032 11350161 13098672 15133548 20178064 22700322 30267096 34050483 45400644 60534192 68100966 90801288 102151449 136201932 181602576 204302898 272403864 306454347 408605796 544807728 612908694 817211592 919363041 1225817388 1634423184 1838726082 2451634776 3677452164 4903269552 7354904328 14709808656