Search a number
-
+
14516736668 = 22721931413067
BaseRepresentation
bin11011000010100001…
…11101001010011100
31101110200210122000122
431201100331022130
5214212241033133
610400252014112
71022511140300
oct154120751234
941420718018
1014516736668
11617a357135
122991761338
1314a46a3c15
149b9d87d00
1559e6a5498
hex36143d29c

14516736668 has 144 divisors (see below), whose sum is σ = 32904668160. Its totient is φ = 5562950400.

The previous prime is 14516736631. The next prime is 14516736671. The reversal of 14516736668 is 86663761541.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 4731671 + ... + 4734737.

It is an arithmetic number, because the mean of its divisors is an integer number (228504640).

Almost surely, 214516736668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14516736668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452334080).

14516736668 is an abundant number, since it is smaller than the sum of its proper divisors (18387931492).

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

14516736668 is a wasteful number, since it uses less digits than its factorization.

14516736668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 3167 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 53.

The spelling of 14516736668 in words is "fourteen billion, five hundred sixteen million, seven hundred thirty-six thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 19 28 31 38 41 49 62 76 82 98 124 133 164 196 217 266 287 434 532 574 589 779 868 931 1148 1178 1271 1519 1558 1862 2009 2356 2542 3038 3067 3116 3724 4018 4123 5084 5453 6076 6134 8036 8246 8897 10906 12268 16492 17794 21469 21812 24149 28861 35588 38171 42938 48298 57722 58273 62279 76342 85876 95077 96596 115444 116546 124558 125747 150283 152684 169043 190154 233092 249116 251494 300566 338086 380308 407911 502988 601132 665539 676172 815822 880229 1183301 1331078 1631644 1760458 1806463 2366602 2389193 2662156 2855377 3520916 3612926 3898157 4658773 4733204 4778386 5710754 6161603 7225852 7796314 9317546 9556772 11421508 12323206 12645241 15592628 16724351 18635092 24646412 25290482 27287099 33448702 50580964 54574198 66897404 74064983 88516687 109148396 117070457 148129966 177033374 191009693 234140914 296259932 354066748 382019386 468281828 518454881 764038772 1036909762 2073819524 3629184167 7258368334 14516736668