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14009173675848 = 2332132339312
BaseRepresentation
bin1100101111011100001111…
…0100100000111101001000
31211121021010101210222020200
43023313003310200331020
53314011241430111343
645443420414452200
72644062245330151
oct313670364407510
954537111728220
1014009173675848
11451129135a07a
1216a30a3b04060
137a80a06a2700
14366094972928
151946264844d3
hexcbdc3d20f48

14009173675848 has 108 divisors (see below), whose sum is σ = 41085806739705. Its totient is φ = 4310387939520.

The previous prime is 14009173675841. The next prime is 14009173675853. The reversal of 14009173675848 is 84857637190041.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

14009173675848 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 9 + 17 + 36 + 7 + 584 + 8 = 666.

14009173675848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11978257965444 + 2030915710404 = 3460962^2 + 1425102^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2646618.

It is not an unprimeable number, because it can be changed into a prime (14009173675841) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 412855443 + ... + 412889373.

Almost surely, 214009173675848 is an apocalyptic number.

14009173675848 is a gapful number since it is divisible by the number (18) 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 14009173675848

14009173675848 is an abundant number, since it is smaller than the sum of its proper divisors (27076633063857).

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

14009173675848 is an frugal number, since it uses more digits than its factorization.

14009173675848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67900 (or 33949 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 14009173675848 in words is "fourteen trillion, nine billion, one hundred seventy-three million, six hundred seventy-five thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 33931 67862 101793 135724 203586 271448 305379 407172 441103 610758 814344 882206 1221516 1323309 1764412 2443032 2646618 3528824 3969927 5293236 5734339 7939854 10586472 11468678 15879708 17203017 22937356 31759416 34406034 45874712 51609051 68812068 103218102 137624136 206436204 412872408 1151312761 2302625522 3453938283 4605251044 6907876566 9210502088 10361814849 13815753132 14967065893 20723629698 27631506264 29934131786 41447259396 44901197679 59868263572 82894518792 89802395358 119736527144 134703593037 179604790716 194571856609 269407186074 359209581432 389143713218 538814372148 583715569827 778287426436 1077628744296 1167431139654 1556574852872 1751146709481 2334862279308 3502293418962 4669724558616 7004586837924 14009173675848