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408164502461 is a prime number
BaseRepresentation
bin1011111000010001000…
…00000000101110111101
31110000112200112001211212
411330020200000232331
523141410103034321
6511301433454205
741326461012122
oct5741040005675
91400480461755
10408164502461
111481132479a1
1267131571365
132c649c8a3a1
1415a8064c749
15a93d58a55b
hex5f08800bbd

408164502461 has 2 divisors, whose sum is σ = 408164502462. Its totient is φ = 408164502460.

The previous prime is 408164502451. The next prime is 408164502469. The reversal of 408164502461 is 164205461804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216960324100 + 191204178361 = 465790^2 + 437269^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-408164502461 is a prime.

It is a super-2 number, since 2×4081645024612 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (408164502469) 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, 204082251230 + 204082251231.

It is an arithmetic number, because the mean of its divisors is an integer number (204082251231).

Almost surely, 2408164502461 is an apocalyptic number.

It is an amenable number.

408164502461 is a deficient number, since it is larger than the sum of its proper divisors (1).

408164502461 is an equidigital number, since it uses as much as digits as its factorization.

408164502461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 408164502461 in words is "four hundred eight billion, one hundred sixty-four million, five hundred two thousand, four hundred sixty-one".