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409929917641 is a prime number
BaseRepresentation
bin1011111011100011011…
…10100010010011001001
31110012002201110110012021
411331301232202103021
523204014024331031
6512152540444441
741421305544136
oct5756156422311
91405081413167
10409929917641
1114893982a502
1267544849721
132c86b95b65a
1415baacc158d
15a9e3561511
hex5f71ba24c9

409929917641 has 2 divisors, whose sum is σ = 409929917642. Its totient is φ = 409929917640.

The previous prime is 409929917597. The next prime is 409929917647. The reversal of 409929917641 is 146719929904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 401168957641 + 8760960000 = 633379^2 + 93600^2 .

It is a cyclic number.

It is not a de Polignac number, because 409929917641 - 215 = 409929884873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 409929917641.

It is not a weakly prime, because it can be changed into another prime (409929917647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204964958820 + 204964958821.

It is an arithmetic number, because the mean of its divisors is an integer number (204964958821).

Almost surely, 2409929917641 is an apocalyptic number.

It is an amenable number.

409929917641 is a deficient number, since it is larger than the sum of its proper divisors (1).

409929917641 is an equidigital number, since it uses as much as digits as its factorization.

409929917641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8817984, while the sum is 61.

The spelling of 409929917641 in words is "four hundred nine billion, nine hundred twenty-nine million, nine hundred seventeen thousand, six hundred forty-one".