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14764403150 = 25272192910937
BaseRepresentation
bin11011100000000011…
…01110100111001110
31102002221211101120022
431300001232213032
5220214141400100
610441020222142
71031606233100
oct156001564716
942087741508
1014764403150
116297136682
122a4069a952
131513aaa433
14a00c17570
155b62c7e85
hex37006e9ce

14764403150 has 144 divisors (see below), whose sum is σ = 34789402800. Its totient is φ = 4629864960.

The previous prime is 14764403149. The next prime is 14764403153. The reversal of 14764403150 is 5130446741.

14764403150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14764403150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14764403153) 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 71 ways as a sum of consecutive naturals, for example, 1344482 + ... + 1355418.

It is an arithmetic number, because the mean of its divisors is an integer number (241593075).

Almost surely, 214764403150 is an apocalyptic number.

14764403150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14764403150 is an abundant number, since it is smaller than the sum of its proper divisors (20024999650).

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

14764403150 is a wasteful number, since it uses less digits than its factorization.

14764403150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11011 (or 10999 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

Adding to 14764403150 its reverse (5130446741), we get a palindrome (19894849891).

The spelling of 14764403150 in words is "fourteen billion, seven hundred sixty-four million, four hundred three thousand, one hundred fifty".

Divisors: 1 2 5 7 10 14 19 25 29 35 38 49 50 58 70 95 98 133 145 175 190 203 245 266 290 350 406 475 490 551 665 725 931 950 1015 1102 1225 1330 1421 1450 1862 2030 2450 2755 2842 3325 3857 4655 5075 5510 6650 7105 7714 9310 10150 10937 13775 14210 19285 21874 23275 26999 27550 35525 38570 46550 53998 54685 71050 76559 96425 109370 134995 153118 192850 207803 269990 273425 317173 382795 415606 535913 546850 634346 674975 765590 1039015 1071826 1349950 1454621 1585865 1913975 2078030 2220211 2679565 2909242 3171730 3827950 4440422 5195075 5359130 6026287 7273105 7929325 10182347 10390150 11101055 12052574 13397825 14546210 15541477 15858650 20364694 22202110 26795650 30131435 31082954 36365525 42184009 50911735 55505275 60262870 72731050 77707385 84368018 101823470 111010550 150657175 155414770 210920045 254558675 295288063 301314350 388536925 421840090 509117350 590576126 777073850 1054600225 1476440315 2109200450 2952880630 7382201575 14764403150