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408224899261 is a prime number
BaseRepresentation
bin1011111000011000001…
…10011010000010111101
31110000200220011112200101
411330030012122002331
523142021033234021
6511311432201101
741331123251104
oct5741406320275
91400626145611
10408224899261
11148144349a03
1267149839191
132c659645b3a
1415a8869103b
15a943a1aa91
hex5f0c19a0bd

408224899261 has 2 divisors, whose sum is σ = 408224899262. Its totient is φ = 408224899260.

The previous prime is 408224899231. The next prime is 408224899279. The reversal of 408224899261 is 162998422804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 402582636036 + 5642263225 = 634494^2 + 75115^2 .

It is a cyclic number.

It is not a de Polignac number, because 408224899261 - 231 = 406077415613 is a prime.

It is a super-2 number, since 2×4082248992612 (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 (408224899231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204112449630 + 204112449631.

It is an arithmetic number, because the mean of its divisors is an integer number (204112449631).

Almost surely, 2408224899261 is an apocalyptic number.

It is an amenable number.

408224899261 is a deficient number, since it is larger than the sum of its proper divisors (1).

408224899261 is an equidigital number, since it uses as much as digits as its factorization.

408224899261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3981312, while the sum is 55.

The spelling of 408224899261 in words is "four hundred eight billion, two hundred twenty-four million, eight hundred ninety-nine thousand, two hundred sixty-one".