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413640557821 is a prime number
BaseRepresentation
bin1100000010011101110…
…01100000010011111101
31110112200022200111121001
412001032321200103331
523234113440322241
6514005052410301
741612253505111
oct6011671402375
91415608614531
10413640557821
1114a473347387
12681bb476991
133001063932a
141603da31741
15ab5e1ca431
hex604ee604fd

413640557821 has 2 divisors, whose sum is σ = 413640557822. Its totient is φ = 413640557820.

The previous prime is 413640557807. The next prime is 413640557839. The reversal of 413640557821 is 128755046314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 406980202500 + 6660355321 = 637950^2 + 81611^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-413640557821 is a prime.

It is a super-2 number, since 2×4136405578212 (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 (413640557621) 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, 206820278910 + 206820278911.

It is an arithmetic number, because the mean of its divisors is an integer number (206820278911).

Almost surely, 2413640557821 is an apocalyptic number.

It is an amenable number.

413640557821 is a deficient number, since it is larger than the sum of its proper divisors (1).

413640557821 is an equidigital number, since it uses as much as digits as its factorization.

413640557821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 413640557821 in words is "four hundred thirteen billion, six hundred forty million, five hundred fifty-seven thousand, eight hundred twenty-one".