Search a number
-
+
54189553121660 = 22511243520752961
BaseRepresentation
bin11000101001000111111010…
…00100000111100101111100
321002212110201010111020121102
430110203331010013211330
524100320201044343120
6311130200444352232
714262031433401055
oct1424437504074574
9232773633436542
1054189553121660
11162a272a022600
1260b236b845678
13243108c3a7558
14d54b073bb72c
1563e8dbd5cd75
hex3148fd10797c

54189553121660 has 72 divisors (see below), whose sum is σ = 127992746012208. Its totient is φ = 19247029401600.

The previous prime is 54189553121647. The next prime is 54189553121677. The reversal of 54189553121660 is 6612135598145.

54189553121660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×541895531216602 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54189553121596 and 54189553121605.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 260272421 + ... + 260480540.

Almost surely, 254189553121660 is an apocalyptic number.

It is an amenable number.

54189553121660 is an abundant number, since it is smaller than the sum of its proper divisors (73803192890548).

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

54189553121660 is a wasteful number, since it uses less digits than its factorization.

54189553121660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520753035 (or 520753022 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 56.

The spelling of 54189553121660 in words is "fifty-four trillion, one hundred eighty-nine billion, five hundred fifty-three million, one hundred twenty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 121 172 215 220 242 430 473 484 605 860 946 1210 1892 2365 2420 4730 5203 9460 10406 20812 26015 52030 104060 520752961 1041505922 2083011844 2603764805 5207529610 5728282571 10415059220 11456565142 22392377323 22913130284 28641412855 44784754646 57282825710 63011108281 89569509292 111961886615 114565651420 126022216562 223923773230 246316150553 252044433124 315055541405 447847546460 492632301106 630111082810 985264602212 1231580752765 1260222165620 2463161505530 2709477656083 4926323011060 5418955312166 10837910624332 13547388280415 27094776560830 54189553121660