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16821415297 is a prime number
BaseRepresentation
bin11111010101010001…
…00110110110000001
31121102022110102202101
433222220212312001
5233422240242142
611421101150401
71133564446051
oct175250466601
947368412671
1016821415297
117152283315
12331555b401
131780cc679b
14b580b3561
15686b9d0b7
hex3eaa26d81

16821415297 has 2 divisors, whose sum is σ = 16821415298. Its totient is φ = 16821415296.

The previous prime is 16821415279. The next prime is 16821415301. The reversal of 16821415297 is 79251412861.

16821415297 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (16821415279) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16819236721 + 2178576 = 129689^2 + 1476^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-16821415297 is a prime.

It is not a weakly prime, because it can be changed into another prime (16821715297) 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, 8410707648 + 8410707649.

It is an arithmetic number, because the mean of its divisors is an integer number (8410707649).

Almost surely, 216821415297 is an apocalyptic number.

It is an amenable number.

16821415297 is a deficient number, since it is larger than the sum of its proper divisors (1).

16821415297 is an equidigital number, since it uses as much as digits as its factorization.

16821415297 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 241920, while the sum is 46.

The spelling of 16821415297 in words is "sixteen billion, eight hundred twenty-one million, four hundred fifteen thousand, two hundred ninety-seven".