Search a number
-
+
5383186181712 = 2432311505380111
BaseRepresentation
bin100111001010101111011…
…1001100110111001010000
3201001121221111112000210100
41032111132321212321100
51201144231130303322
615241000202132400
71063631241364563
oct116253671467120
921047844460710
105383186181712
111795aa6295369
1272b36a1b1100
1330082b1689b1
141487948924da
1595067e6cdac
hex4e55ee66e50

5383186181712 has 120 divisors (see below), whose sum is σ = 15552653995008. Its totient is φ = 1736374636800.

The previous prime is 5383186181669. The next prime is 5383186181719. The reversal of 5383186181712 is 2171816813835.

5383186181712 is a `hidden beast` number, since 5 + 3 + 8 + 3 + 1 + 8 + 618 + 1 + 7 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5383186181719) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 67156537 + ... + 67236647.

Almost surely, 25383186181712 is an apocalyptic number.

It is an amenable number.

5383186181712 is an abundant number, since it is smaller than the sum of its proper divisors (10169467813296).

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

5383186181712 is a wasteful number, since it uses less digits than its factorization.

5383186181712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95209 (or 95200 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 5383186181712 in words is "five trillion, three hundred eighty-three billion, one hundred eighty-six million, one hundred eighty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 15053 30106 45159 60212 80111 90318 120424 135477 160222 180636 240333 240848 270954 320444 361272 466643 480666 541908 640888 720999 722544 933286 961332 1083816 1281776 1399929 1441998 1866572 1922664 2167632 2483441 2799858 2883996 3733144 3845328 4199787 4966882 5599716 5767992 7450323 7466288 8399574 9933764 11199432 11535984 14900646 16799148 19867528 22350969 22398864 29801292 33598296 39735056 44701938 59602584 67196592 89403876 119205168 178807752 357615504 1205910883 2411821766 3617732649 4823643532 7235465298 9647287064 10853197947 14470930596 19294574128 21706395894 28941861192 37383237373 43412791788 57883722384 74766474746 86825583576 112149712119 149532949492 173651167152 224299424238 299065898984 336449136357 448598848476 598131797968 672898272714 897197696952 1345796545428 1794395393904 2691593090856 5383186181712