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354275201958049 is a prime number
BaseRepresentation
bin101000010001101100001111…
…1100100001100000010100001
31201110101101012221211112020001
41100203120133210030002201
5332413421103200124144
63253251440404420001
7134423352524236411
oct12043303744140241
91643341187745201
10354275201958049
11a29792a662a529
1233898aa83a7601
131228b01500a1c8
14636b022caa641
152ae579ea59bd4
hex142361f90c0a1

354275201958049 has 2 divisors, whose sum is σ = 354275201958050. Its totient is φ = 354275201958048.

The previous prime is 354275201958023. The next prime is 354275201958077. The reversal of 354275201958049 is 940859102572453.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 229917175520400 + 124358026437649 = 15163020^2 + 11151593^2 .

It is a cyclic number.

It is not a de Polignac number, because 354275201958049 - 27 = 354275201957921 is a prime.

It is a super-3 number, since 3×3542752019580493 (a number of 45 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (354275201958079) by changing a digit.

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 as a sum of consecutive naturals, namely, 177137600979024 + 177137600979025.

It is an arithmetic number, because the mean of its divisors is an integer number (177137600979025).

Almost surely, 2354275201958049 is an apocalyptic number.

It is an amenable number.

354275201958049 is a deficient number, since it is larger than the sum of its proper divisors (1).

354275201958049 is an equidigital number, since it uses as much as digits as its factorization.

354275201958049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864000, while the sum is 64.

The spelling of 354275201958049 in words is "three hundred fifty-four trillion, two hundred seventy-five billion, two hundred one million, nine hundred fifty-eight thousand, forty-nine".