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14135525646 = 23112193532903
BaseRepresentation
bin11010010101000101…
…10000000100001110
31100111010111002210220
431022202300010032
5212422143310041
610254353212210
71010201662014
oct151242600416
940433432726
1014135525646
115aa4154700
1228a5b61066
131443710778
149814b48b4
1557aea3d66
hex34a8b010e

14135525646 has 96 divisors (see below), whose sum is σ = 32814270720. Its totient is φ = 4045155840.

The previous prime is 14135525563. The next prime is 14135525647. The reversal of 14135525646 is 64652553141.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14135525598 and 14135525607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14135525647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4867831 + ... + 4870733.

It is an arithmetic number, because the mean of its divisors is an integer number (341815320).

Almost surely, 214135525646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14135525646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16407135360).

14135525646 is an abundant number, since it is smaller than the sum of its proper divisors (18678745074).

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

14135525646 is a wasteful number, since it uses less digits than its factorization.

14135525646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3291 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The spelling of 14135525646 in words is "fourteen billion, one hundred thirty-five million, five hundred twenty-five thousand, six hundred forty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 353 363 418 627 706 726 1059 1254 2118 2299 2903 3883 4598 5806 6707 6897 7766 8709 11649 13414 13794 17418 20121 23298 31933 40242 42713 55157 63866 73777 85426 95799 110314 128139 147554 165471 191598 221331 256278 330942 351263 442662 606727 702526 811547 1024759 1053789 1213454 1623094 1820181 2049518 2107578 2434641 3074277 3640362 4869282 6148554 6673997 11272349 13347994 19470421 20021991 22544698 33817047 38940842 40043982 58411263 67634094 116822526 123995839 214174631 247991678 371987517 428349262 642523893 743975034 1285047786 2355920941 4711841882 7067762823 14135525646