Search a number
-
+
46542365660 = 22571076834549
BaseRepresentation
bin101011010110001001…
…000010001111011100
311110010121200010222202
4223112021002033130
51230304321200120
633214204231032
73235235403110
oct532611021734
9143117603882
1046542365660
1118813a5220a
12902ab3b478
13450961794b
14237743d740
151326055875
hexad62423dc

46542365660 has 96 divisors (see below), whose sum is σ = 112935513600. Its totient is φ = 15781632768.

The previous prime is 46542365641. The next prime is 46542365677. The reversal of 46542365660 is 6656324564.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10229066 + ... + 10233614.

It is an arithmetic number, because the mean of its divisors is an integer number (1176411600).

Almost surely, 246542365660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46542365660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56467756800).

46542365660 is an abundant number, since it is smaller than the sum of its proper divisors (66393147940).

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

46542365660 is a wasteful number, since it uses less digits than its factorization.

46542365660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 47.

The spelling of 46542365660 in words is "forty-six billion, five hundred forty-two million, three hundred sixty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 683 749 1070 1366 1498 2140 2732 2996 3415 3745 4549 4781 6830 7490 9098 9562 13660 14980 18196 19124 22745 23905 31843 45490 47810 63686 73081 90980 95620 127372 146162 159215 292324 318430 365405 486743 511567 636860 730810 973486 1023134 1461620 1946972 2046268 2433715 2557835 3106967 3407201 4867430 5115670 6213934 6814402 9734860 10231340 12427868 13628804 15534835 17036005 21748769 31069670 34072010 43497538 62139340 68144020 86995076 108743845 217487690 332445469 434975380 664890938 1329781876 1662227345 2327118283 3324454690 4654236566 6648909380 9308473132 11635591415 23271182830 46542365660