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540364072173561 = 323131669911487067
BaseRepresentation
bin111101011011101010101000…
…0100100100011111111111001
32121212021022010021112100012100
41322313111100210203333321
51031311311104434023221
65153131454444134013
7221551005306443646
oct17267252044437771
92555238107470170
10540364072173561
111471a4130530499
1250732216537309
131a26916208888c
149761a912aadcd
154271199cab926
hex1eb7550923ff9

540364072173561 has 24 divisors (see below), whose sum is σ = 783066533319200. Its totient is φ = 359070244543296.

The previous prime is 540364072173547. The next prime is 540364072173599. The reversal of 540364072173561 is 165371270463045.

540364072173561 is a `hidden beast` number, since 5 + 4 + 0 + 3 + 6 + 4 + 0 + 7 + 2 + 1 + 73 + 561 = 666.

It is not a de Polignac number, because 540364072173561 - 210 = 540364072172537 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540364072173498 and 540364072173507.

It is not an unprimeable number, because it can be changed into a prime (540364072373561) 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 23 ways as a sum of consecutive naturals, for example, 41297550 + ... + 52784616.

Almost surely, 2540364072173561 is an apocalyptic number.

It is an amenable number.

540364072173561 is a deficient number, since it is larger than the sum of its proper divisors (242702461145639).

540364072173561 is a wasteful number, since it uses less digits than its factorization.

540364072173561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11504085 (or 11504082 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 540364072173561 in words is "five hundred forty trillion, three hundred sixty-four billion, seventy-two million, one hundred seventy-three thousand, five hundred sixty-one".

Divisors: 1 3 9 313 939 2817 16699 50097 150291 5226787 11487067 15680361 34461201 47041083 103383603 3595451971 10786355913 32359067739 191822531833 575467595499 1726402786497 60040452463729 180121357391187 540364072173561