Search a number
-
+
540053331203205 = 325372584712549091
BaseRepresentation
bin111101011001011001111011…
…0111101110101010010000101
32121211011121001012120111002100
41322302303312331311102011
51031241213210242000310
65152333024134502313
7221516364665666031
oct17262636675652205
92554147035514070
10540053331203205
11147094371337196
12506a1b53b04999
131a245a6cbb7011
149750a138451c1
15426805e677ec0
hex1eb2cf6f75485

540053331203205 has 48 divisors (see below), whose sum is σ = 961429508567424. Its totient is φ = 280233026040960.

The previous prime is 540053331203153. The next prime is 540053331203207. The reversal of 540053331203205 is 502302133350045.

540053331203205 is a `hidden beast` number, since 5 + 40 + 0 + 533 + 31 + 20 + 32 + 0 + 5 = 666.

It is not a de Polignac number, because 540053331203205 - 27 = 540053331203077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 540053331203205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540053331203207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36760710 + ... + 49309800.

It is an arithmetic number, because the mean of its divisors is an integer number (20029781428488).

Almost surely, 2540053331203205 is an apocalyptic number.

It is an amenable number.

540053331203205 is a deficient number, since it is larger than the sum of its proper divisors (421376177364219).

540053331203205 is a wasteful number, since it uses less digits than its factorization.

540053331203205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12574986 (or 12574983 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 540053331203205 in words is "five hundred forty trillion, fifty-three billion, three hundred thirty-one million, two hundred three thousand, two hundred five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 25847 77541 129235 232623 387705 956339 1163115 2869017 4781695 8607051 12549091 14345085 37647273 43035255 62745455 112941819 188236365 464316367 564709095 1392949101 2321581835 4178847303 6964745505 20894236515 324356355077 973069065231 1621781775385 2919207195693 4865345326155 12001185137849 14596035978465 36003555413547 60005925689245 108010666240641 180017777067735 540053331203205