Search a number
-
+
132153315424662 = 237213726171253737
BaseRepresentation
bin11110000011000101010111…
…011010111111100110010110
3122022220201210202212200020110
4132003011113122333212112
5114310144442222042122
61145022221152343450
736556522231625100
oct3603052732774626
9568821722780213
10132153315424662
11391209a7366844
12129a4245b44b86
13589800921ba3c
14248c37c872570
15104292725390c
hex7831576bf996

132153315424662 has 96 divisors (see below), whose sum is σ = 309821548040928. Its totient is φ = 37468131047424.

The previous prime is 132153315424601. The next prime is 132153315424673. The reversal of 132153315424662 is 266424513351231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104780658 + ... + 106034394.

It is an arithmetic number, because the mean of its divisors is an integer number (3227307792093).

Almost surely, 2132153315424662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132153315424662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154910774020464).

132153315424662 is an abundant number, since it is smaller than the sum of its proper divisors (177668232616266).

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

132153315424662 is a wasteful number, since it uses less digits than its factorization.

132153315424662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256510 (or 1256503 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

Adding to 132153315424662 its reverse (266424513351231), we get a palindrome (398577828775893).

The spelling of 132153315424662 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, three hundred fifteen million, four hundred twenty-four thousand, six hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 137 147 274 294 411 822 959 1918 2617 2877 5234 5754 6713 7851 13426 15702 18319 20139 36638 40278 54957 109914 128233 256466 358529 384699 717058 769398 1075587 1253737 2151174 2507474 2509703 3761211 5019406 7522422 7529109 8776159 15058218 17552318 17567921 26328477 35135842 52656954 52703763 61433113 105407526 122866226 171761969 184299339 343523938 368598678 515285907 1030571814 1202333783 2404667566 3281029729 3607001349 6562059458 7214002698 8416336481 9843089187 16832672962 19686178374 22967208103 25249009443 45934416206 50498018886 68901624309 137803248618 160770456721 321540913442 449501072873 482311370163 899002145746 964622740326 1348503218619 2697006437238 3146507510111 6293015020222 9439522530333 18879045060666 22025552570777 44051105141554 66076657712331 132153315424662