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542225536065 = 32512049456357
BaseRepresentation
bin1111110001111110010…
…10010001010001000001
31220211120122000012021200
413320333022101101001
532340434214123230
61053032303011413
754113566003443
oct7707712212101
91824518005250
10542225536065
11199a581a7744
1289106299b69
133c193302b85
141c35b1d8493
15e187bcd160
hex7e3f291441

542225536065 has 12 divisors (see below), whose sum is σ = 939857595924. Its totient is φ = 289186952544.

The previous prime is 542225536031. The next prime is 542225536087. The reversal of 542225536065 is 560635522245.

542225536065 is a `hidden beast` number, since 5 + 4 + 2 + 225 + 5 + 360 + 65 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 263720250369 + 278505285696 = 513537^2 + 527736^2 .

It is not a de Polignac number, because 542225536065 - 28 = 542225535809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 12049456357 = 542225536065 / (5 + 4 + 2 + 2 + 2 + 5 + 5 + 3 + 6 + 0 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 542225536065.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6024728134 + ... + 6024728223.

It is an arithmetic number, because the mean of its divisors is an integer number (78321466327).

Almost surely, 2542225536065 is an apocalyptic number.

It is an amenable number.

542225536065 is a deficient number, since it is larger than the sum of its proper divisors (397632059859).

542225536065 is a wasteful number, since it uses less digits than its factorization.

542225536065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12049456368 (or 12049456365 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 542225536065 in words is "five hundred forty-two billion, two hundred twenty-five million, five hundred thirty-six thousand, sixty-five".

Divisors: 1 3 5 9 15 45 12049456357 36148369071 60247281785 108445107213 180741845355 542225536065