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368380079729 is a prime number
BaseRepresentation
bin1010101110001010010…
…10011110111001110001
31022012212001002222202122
411113011022132321301
522013420300022404
6441121555324025
735420542004354
oct5270512367161
91265761088678
10368380079729
11132257a51292
125b4898b0615
132897978744c
1413b8895a29b
1598b09883be
hex55c529ee71

368380079729 has 2 divisors, whose sum is σ = 368380079730. Its totient is φ = 368380079728.

The previous prime is 368380079659. The next prime is 368380079737. The reversal of 368380079729 is 927970083863.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 368234153329 + 145926400 = 606823^2 + 12080^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-368380079729 is a prime.

It is a super-2 number, since 2×3683800797292 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (368380079329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 184190039864 + 184190039865.

It is an arithmetic number, because the mean of its divisors is an integer number (184190039865).

Almost surely, 2368380079729 is an apocalyptic number.

It is an amenable number.

368380079729 is a deficient number, since it is larger than the sum of its proper divisors (1).

368380079729 is an equidigital number, since it uses as much as digits as its factorization.

368380079729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27433728, while the sum is 62.

The spelling of 368380079729 in words is "three hundred sixty-eight billion, three hundred eighty million, seventy-nine thousand, seven hundred twenty-nine".