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14676353316 = 22326123312
BaseRepresentation
bin11011010101100011…
…10110000100100100
31101212211010222220100
431222301312010210
5220024121301231
610424153104100
71026456642042
oct155261660444
941784128810
1014676353316
116251467519
122a170b8030
1314cb78c041
149d3257392
155ad6d41e6
hex36ac76124

14676353316 has 81 divisors (see below), whose sum is σ = 37830994929. Its totient is φ = 4797381600.

The previous prime is 14676353231. The next prime is 14676353327. The reversal of 14676353316 is 61335367641.

The square root of 14676353316 is 121146.

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

14676353316 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 635 + 3 + 3 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 477247716 + 14199105600 = 21846^2 + 119160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44339271 + ... + 44339601.

Almost surely, 214676353316 is an apocalyptic number.

14676353316 is the 121146-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14676353316

14676353316 is an abundant number, since it is smaller than the sum of its proper divisors (23154641613).

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

14676353316 is an equidigital number, since it uses as much as digits as its factorization.

14676353316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 397 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 14676353316 in words is "fourteen billion, six hundred seventy-six million, three hundred fifty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 331 366 549 662 732 993 1098 1324 1986 2196 2979 3721 3972 5958 7442 11163 11916 14884 20191 22326 33489 40382 44652 60573 66978 80764 109561 121146 133956 181719 219122 242292 328683 363438 438244 657366 726876 986049 1231651 1314732 1972098 2463302 3694953 3944196 4926604 6683221 7389906 11084859 13366442 14779812 20049663 22169718 26732884 40099326 44339436 60148989 80198652 120297978 240595956 407676481 815352962 1223029443 1630705924 2446058886 3669088329 4892117772 7338176658 14676353316