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14284675068 = 22317227373827
BaseRepresentation
bin11010100110110111…
…01101011111111100
31100212112010200100120
431103123231133330
5213223334100233
610321242054540
71013662506666
oct152333553774
940775120316
1014284675068
116070365894
122927aaa450
1314685a2471
1499721b536
155891164b3
hex3536ed7fc

14284675068 has 96 divisors (see below), whose sum is σ = 35585028864. Its totient is φ = 4444382208.

The previous prime is 14284674991. The next prime is 14284675073. The reversal of 14284675068 is 86057648241.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 14284675068.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17272471 + ... + 17273297.

It is an arithmetic number, because the mean of its divisors is an integer number (370677384).

Almost surely, 214284675068 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 14284675068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17792514432).

14284675068 is an abundant number, since it is smaller than the sum of its proper divisors (21300353796).

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

14284675068 is a wasteful number, since it uses less digits than its factorization.

14284675068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 14284675068 in words is "fourteen billion, two hundred eighty-four million, six hundred seventy-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 227 373 454 681 746 827 908 1119 1362 1492 1654 2238 2481 2724 3308 3859 4476 4962 6341 7718 9924 11577 12682 14059 15436 19023 23154 25364 28118 38046 42177 46308 56236 76092 84354 84671 168708 169342 187729 254013 308471 338684 375458 508026 563187 616942 750916 925413 1016052 1126374 1233884 1439407 1850826 2252748 2878814 3191393 3701652 4318221 5244007 5757628 6382786 8636442 9574179 10488014 12765572 15732021 17272884 19148358 20976028 31464042 38296716 62928084 70022917 140045834 210068751 280091668 420137502 840275004 1190389589 2380779178 3571168767 4761558356 7142337534 14284675068