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540351427396 = 22112334132
BaseRepresentation
bin1111101110011110111…
…01000111001101000100
31220122202000112121111111
413313033131013031010
532323114431134041
61052122314214404
754016261230664
oct7671735071504
91818660477444
10540351427396
11199186326100
1288882724404
133bc54c66131
141c2203501a4
15e0c83d6981
hex7dcf747344

540351427396 has 27 divisors (see below), whose sum is σ = 1039426106173. Its totient is φ = 245606934320.

The previous prime is 540351427391. The next prime is 540351427439. The reversal of 540351427396 is 693724153045.

The square root of 540351427396 is 735086.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 521818416900 + 18533010496 = 722370^2 + 136136^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540351427391) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 16155186 + ... + 16188598.

Almost surely, 2540351427396 is an apocalyptic number.

540351427396 is the 735086-th square number.

It is an amenable number.

540351427396 is a deficient number, since it is larger than the sum of its proper divisors (499074678777).

540351427396 is an frugal number, since it uses more digits than its factorization.

540351427396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66852 (or 33426 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

Multiplying 540351427396 by its sum of digits (49), we get a square (26477219942404 = 51456022).

The spelling of 540351427396 in words is "five hundred forty billion, three hundred fifty-one million, four hundred twenty-seven thousand, three hundred ninety-six".

Divisors: 1 2 4 11 22 44 121 242 484 33413 66826 133652 367543 735086 1470172 4042973 8085946 16171892 1116428569 2232857138 4465714276 12280714259 24561428518 49122857036 135087856849 270175713698 540351427396