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14933500329 = 31123373891367
BaseRepresentation
bin11011110100001101…
…10010000110101001
31102112202000102021210
431322012302012221
5221040434002304
610505500423333
71036031441556
oct157206620651
942482012253
1014933500329
116373631910
122a89247b49
13153cb34837
14a19473a2d
155c607ac89
hex37a1b21a9

14933500329 has 64 divisors (see below), whose sum is σ = 23355371520. Its totient is φ = 8395326720.

The previous prime is 14933500289. The next prime is 14933500331. The reversal of 14933500329 is 92300533941.

14933500329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14933500329 - 213 = 14933492137 is a prime.

It is a super-3 number, since 3×149335003293 (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14933510329) 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 63 ways as a sum of consecutive naturals, for example, 10923604 + ... + 10924970.

It is an arithmetic number, because the mean of its divisors is an integer number (364927680).

Almost surely, 214933500329 is an apocalyptic number.

It is an amenable number.

14933500329 is a deficient number, since it is larger than the sum of its proper divisors (8421871191).

14933500329 is a wasteful number, since it uses less digits than its factorization.

14933500329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830.

The product of its (nonzero) digits is 87480, while the sum is 39.

The spelling of 14933500329 in words is "fourteen billion, nine hundred thirty-three million, five hundred thousand, three hundred twenty-nine".

Divisors: 1 3 11 23 33 37 69 111 253 389 407 759 851 1167 1221 1367 2553 4101 4279 8947 9361 12837 14393 15037 26841 28083 31441 43179 45111 50579 94323 98417 151737 158323 295251 331039 345851 474969 531763 556369 993117 1037553 1163317 1595289 1669107 3489951 3641429 5849393 10924287 12230549 12796487 17548179 19675231 36691647 38389461 59025693 134536039 216427541 403608117 452530313 649282623 1357590939 4977833443 14933500329