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14268796074 = 232132231091871
BaseRepresentation
bin11010100100111110…
…01000110010101010
31100211102020221110200
431102133020302222
5213210302433244
610315513453030
71013410523361
oct152237106252
940742227420
1014268796074
1160623aa755
122922711176
131465202a00
149950867d8
15587a2b669
hex3527c8caa

14268796074 has 144 divisors (see below), whose sum is σ = 35271624960. Its totient is φ = 4158760320.

The previous prime is 14268796067. The next prime is 14268796093. The reversal of 14268796074 is 47069786241.

14268796074 is a `hidden beast` number, since 1 + 4 + 26 + 8 + 7 + 9 + 607 + 4 = 666.

14268796074 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14268796074.

It is an unprimeable number.

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, 7625359 + ... + 7627229.

It is an arithmetic number, because the mean of its divisors is an integer number (244941840).

Almost surely, 214268796074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14268796074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17635812480).

14268796074 is an abundant number, since it is smaller than the sum of its proper divisors (21002828886).

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

14268796074 is a wasteful number, since it uses less digits than its factorization.

14268796074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 14268796074 in words is "fourteen billion, two hundred sixty-eight million, seven hundred ninety-six thousand, seventy-four".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 109 117 138 169 207 218 234 299 327 338 414 507 598 654 897 981 1014 1417 1521 1794 1871 1962 2507 2691 2834 3042 3742 3887 4251 5014 5382 5613 7521 7774 8502 11226 11661 12753 15042 16839 18421 22563 23322 24323 25506 32591 33678 34983 36842 43033 45126 48646 55263 65182 69966 72969 86066 97773 110526 129099 145938 165789 195546 203939 218907 258198 293319 316199 331578 387297 407878 423683 437814 559429 586638 611817 632398 774594 847366 948597 1118858 1223634 1271049 1678287 1835451 1897194 2542098 2651207 2845791 3356574 3670902 3813147 4690597 5034861 5302414 5691582 7272577 7626294 7953621 9381194 10069722 14071791 14545154 15907242 21817731 23860863 28143582 34465691 42215373 43635462 47721726 60977761 65453193 68931382 84430746 103397073 121955522 130906386 182933283 206794146 310191219 365866566 548799849 620382438 792710893 1097599698 1585421786 2378132679 4756265358 7134398037 14268796074