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541143945864 = 233219133928849
BaseRepresentation
bin1111101111111101011…
…00010101001010001000
31220201210020210201110100
413313332230111022020
532331230322231424
61052333104445400
754045023434314
oct7677654251210
91821706721410
10541143945864
11199552716a45
1288a64019860
133c0501c9882
141c2976ccb44
15e122c81dc9
hex7dfeb15288

541143945864 has 48 divisors (see below), whose sum is σ = 1466364685500. Its totient is φ = 180286977024.

The previous prime is 541143945863. The next prime is 541143945929. The reversal of 541143945864 is 468549341145.

541143945864 is a `hidden beast` number, since 5 + 4 + 11 + 43 + 9 + 4 + 586 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 409126536900 + 132017408964 = 639630^2 + 363342^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 541143945864.

It is not an unprimeable number, because it can be changed into a prime (541143945863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1826689 + ... + 2102160.

Almost surely, 2541143945864 is an apocalyptic number.

It is an amenable number.

541143945864 is an abundant number, since it is smaller than the sum of its proper divisors (925220739636).

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

541143945864 is a wasteful number, since it uses less digits than its factorization.

541143945864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930774 (or 3930767 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 541143945864 in words is "five hundred forty-one billion, one hundred forty-three million, nine hundred forty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1913 3826 5739 7652 11478 15304 17217 22956 34434 45912 68868 137736 3928849 7857698 11786547 15715396 23573094 31430792 35359641 47146188 70719282 94292376 141438564 282877128 7515888137 15031776274 22547664411 30063552548 45095328822 60127105096 67642993233 90190657644 135285986466 180381315288 270571972932 541143945864