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164650040034 = 2331371031092131
BaseRepresentation
bin1001100101010111101…
…0000011101011100010
3120201222202002122201220
42121111322003223202
510144200402240114
6203350021435510
714616116151144
oct2312572035342
9521882078656
10164650040034
1163911723057
1227ab0b6bb96
13126ac7575bc
147d7d318c94
154439d170a9
hex2655e83ae2

164650040034 has 128 divisors (see below), whose sum is σ = 355900047360. Its totient is φ = 50682412800.

The previous prime is 164650040033. The next prime is 164650040053. The reversal of 164650040034 is 430040056461.

164650040034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 164650039977 and 164650040004.

It is not an unprimeable number, because it can be changed into a prime (164650040033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77263149 + ... + 77265279.

It is an arithmetic number, because the mean of its divisors is an integer number (2780469120).

Almost surely, 2164650040034 is an apocalyptic number.

164650040034 is an abundant number, since it is smaller than the sum of its proper divisors (191250007326).

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

164650040034 is a wasteful number, since it uses less digits than its factorization.

164650040034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 164650040034 its reverse (430040056461), we get a palindrome (594690096495).

The spelling of 164650040034 in words is "one hundred sixty-four billion, six hundred fifty million, forty thousand, thirty-four".

Divisors: 1 2 3 6 31 37 62 74 93 103 109 111 186 206 218 222 309 327 618 654 1147 2131 2294 3193 3379 3441 3811 4033 4262 6386 6393 6758 6882 7622 8066 9579 10137 11227 11433 12099 12786 19158 20274 22454 22866 24198 33681 66061 67362 78847 118141 125023 132122 157694 198183 219493 232279 236282 236541 250046 348037 354423 375069 396366 415399 438986 464558 473082 658479 696074 696837 708846 750138 830798 1044111 1246197 1316958 1393674 2088222 2444257 2492394 4888514 6804283 7200649 7332771 8121241 8594323 12877369 13608566 14401298 14665542 16242482 17188646 20412849 21601947 23924737 24363723 25754738 25782969 38632107 40825698 43203894 47849474 48727446 51565938 71774211 77264214 143548422 251758471 266424013 503516942 532848026 741666847 755275413 799272039 885215269 1483333694 1510550826 1598544078 1770430538 2225000541 2655645807 4450001082 5311291614 27441673339 54883346678 82325020017 164650040034