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540311151977 is a prime number
BaseRepresentation
bin1111101110011010000…
…11011110010101101001
31220122122012202102000022
413313031003132111221
532323024123330402
61052114315050225
754015262004642
oct7671503362551
91818565672008
10540311151977
11199165617633
1288871140975
133bc4980411c
141c218c686c9
15e0c4acd2a2
hex7dcd0de569

540311151977 has 2 divisors, whose sum is σ = 540311151978. Its totient is φ = 540311151976.

The previous prime is 540311151973. The next prime is 540311152001. The reversal of 540311151977 is 779151113045.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 342905107561 + 197406044416 = 585581^2 + 444304^2 .

It is a cyclic number.

It is not a de Polignac number, because 540311151977 - 22 = 540311151973 is a prime.

It is a super-2 number, since 2×5403111519772 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (540311151971) 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 as a sum of consecutive naturals, namely, 270155575988 + 270155575989.

It is an arithmetic number, because the mean of its divisors is an integer number (270155575989).

Almost surely, 2540311151977 is an apocalyptic number.

It is an amenable number.

540311151977 is a deficient number, since it is larger than the sum of its proper divisors (1).

540311151977 is an equidigital number, since it uses as much as digits as its factorization.

540311151977 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 44.

The spelling of 540311151977 in words is "five hundred forty billion, three hundred eleven million, one hundred fifty-one thousand, nine hundred seventy-seven".