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165053103506226 = 233131012327904763
BaseRepresentation
bin100101100001110101101011…
…100110101000001100110010
3210122101220220120102210111000
4211201311223212220030302
5133113212223444144401
61343012203214102430
746523456525326035
oct4541655346501462
9718356816383430
10165053103506226
11486556a0004a71
12166184924aaa16
1371135967b0310
142ca888188d01c
151413623b26186
hex961d6b9a8332

165053103506226 has 64 divisors (see below), whose sum is σ = 398909760359040. Its totient is φ = 50282742859200.

The previous prime is 165053103506191. The next prime is 165053103506237. The reversal of 165053103506226 is 622605301350561.

165053103506226 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 5 + 3 + 10 + 3 + 5 + 0 + 622 + 6 = 666.

165053103506226 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1163881480 + ... + 1164023283.

It is an arithmetic number, because the mean of its divisors is an integer number (6232965005610).

Almost surely, 2165053103506226 is an apocalyptic number.

165053103506226 is an abundant number, since it is smaller than the sum of its proper divisors (233856656852814).

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

165053103506226 is a wasteful number, since it uses less digits than its factorization.

165053103506226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327904888 (or 2327904882 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

Adding to 165053103506226 its reverse (622605301350561), we get a palindrome (787658404856787).

The spelling of 165053103506226 in words is "one hundred sixty-five trillion, fifty-three billion, one hundred three million, five hundred six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 101 117 202 234 303 351 606 702 909 1313 1818 2626 2727 3939 5454 7878 11817 23634 35451 70902 2327904763 4655809526 6983714289 13967428578 20951142867 30262761919 41902285734 60525523838 62853428601 90788285757 125706857202 181576571514 235118381063 272364857271 470236762126 544729714542 705355143189 817094571813 1410710286378 1634189143626 2116065429567 3056538953819 4232130859134 6113077907638 6348196288701 9169616861457 12696392577402 18339233722914 27508850584371 55017701168742 82526551753113 165053103506226