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16590292993 is a prime number
BaseRepresentation
bin11110111001101101…
…11100100000000001
31120211012120012120001
433130312330200001
5232434103333433
611342123320001
71125060110101
oct173466744001
946735505501
1016590292993
11704387374a
123270080001
131745163721
14b3550d201
1567174757d
hex3dcdbc801

16590292993 has 2 divisors, whose sum is σ = 16590292994. Its totient is φ = 16590292992.

The previous prime is 16590292967. The next prime is 16590292997. The reversal of 16590292993 is 39929209561.

16590292993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14648745024 + 1941547969 = 121032^2 + 44063^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-16590292993 is a prime.

It is not a weakly prime, because it can be changed into another prime (16590292997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8295146496 + 8295146497.

It is an arithmetic number, because the mean of its divisors is an integer number (8295146497).

Almost surely, 216590292993 is an apocalyptic number.

It is an amenable number.

16590292993 is a deficient number, since it is larger than the sum of its proper divisors (1).

16590292993 is an equidigital number, since it uses as much as digits as its factorization.

16590292993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2361960, while the sum is 55.

The spelling of 16590292993 in words is "sixteen billion, five hundred ninety million, two hundred ninety-two thousand, nine hundred ninety-three".