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45093918058367 is a prime number
BaseRepresentation
bin10100100000011001111101…
…11101111010011101111111
312220122221021200102211111212
422100030332331322131333
521402304321010331432
6235523505430435035
712332633220115133
oct1220147675723577
9186587250384455
1045093918058367
1113406250169992
125083605b02a7b
131c21452112619
14b1c7b32633c3
15532ee27562b2
hex29033ef7a77f

45093918058367 has 2 divisors, whose sum is σ = 45093918058368. Its totient is φ = 45093918058366.

The previous prime is 45093918058291. The next prime is 45093918058421. The reversal of 45093918058367 is 76385081939054.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 45093918058367 - 212 = 45093918054271 is a prime.

It is a super-3 number, since 3×450939180583673 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 45093918058297 and 45093918058306.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45093918051367) 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 as a sum of consecutive naturals, namely, 22546959029183 + 22546959029184.

It is an arithmetic number, because the mean of its divisors is an integer number (22546959029184).

Almost surely, 245093918058367 is an apocalyptic number.

45093918058367 is a deficient number, since it is larger than the sum of its proper divisors (1).

45093918058367 is an equidigital number, since it uses as much as digits as its factorization.

45093918058367 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 195955200, while the sum is 68.

The spelling of 45093918058367 in words is "forty-five trillion, ninety-three billion, nine hundred eighteen million, fifty-eight thousand, three hundred sixty-seven".