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540109005377 is a prime number
BaseRepresentation
bin1111101110000010000…
…00010110001001000001
31220122010010101022000012
413313001000112021001
532322120401133002
61052042254234305
754010255540154
oct7670100261101
91818103338005
10540109005377
111990714a8927
12888154b5995
133bc16977a56
141c1da087c9b
15e0b1e9cd52
hex7dc1016241

540109005377 has 2 divisors, whose sum is σ = 540109005378. Its totient is φ = 540109005376.

The previous prime is 540109005239. The next prime is 540109005389. The reversal of 540109005377 is 773500901045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 404952776881 + 135156228496 = 636359^2 + 367636^2 .

It is a cyclic number.

It is not a de Polignac number, because 540109005377 - 212 = 540109001281 is a prime.

It is not a weakly prime, because it can be changed into another prime (540109005977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270054502688 + 270054502689.

It is an arithmetic number, because the mean of its divisors is an integer number (270054502689).

Almost surely, 2540109005377 is an apocalyptic number.

It is an amenable number.

540109005377 is a deficient number, since it is larger than the sum of its proper divisors (1).

540109005377 is an equidigital number, since it uses as much as digits as its factorization.

540109005377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 132300, while the sum is 41.

The spelling of 540109005377 in words is "five hundred forty billion, one hundred nine million, five thousand, three hundred seventy-seven".