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540854471120 = 2456760680889
BaseRepresentation
bin1111101111011010111…
…00000100100111010000
31220201001002002212202112
413313231130010213100
532330132221033440
61052244244204452
754034610102525
oct7675534044720
91821032085675
10540854471120
11199414281317
12889a3099728
133c005245742
141c26b09914c
15e107651965
hex7ded7049d0

540854471120 has 20 divisors (see below), whose sum is σ = 1257486645540. Its totient is φ = 216341788416.

The previous prime is 540854471083. The next prime is 540854471137. The reversal of 540854471120 is 21174458045.

It can be written as a sum of positive squares in 2 ways, for example, as 339138510736 + 201715960384 = 582356^2 + 449128^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3380340365 + ... + 3380340524.

It is an arithmetic number, because the mean of its divisors is an integer number (62874332277).

Almost surely, 2540854471120 is an apocalyptic number.

It is an amenable number.

540854471120 is an abundant number, since it is smaller than the sum of its proper divisors (716632174420).

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

540854471120 is a wasteful number, since it uses less digits than its factorization.

540854471120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6760680902 (or 6760680896 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 41.

The spelling of 540854471120 in words is "five hundred forty billion, eight hundred fifty-four million, four hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6760680889 13521361778 27042723556 33803404445 54085447112 67606808890 108170894224 135213617780 270427235560 540854471120