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417747839921 is a prime number
BaseRepresentation
bin1100001010000111011…
…01100010101110110001
31110221021120021001102022
412011003231202232301
523321021421334141
6515524414001225
742116116023356
oct6050355425661
91427246231368
10417747839921
111511908461a5
1268b66aa6215
1330516550c79
141630d31062d
15aceea92b4b
hex6143b62bb1

417747839921 has 2 divisors, whose sum is σ = 417747839922. Its totient is φ = 417747839920.

The previous prime is 417747839897. The next prime is 417747839953. The reversal of 417747839921 is 129938747714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212556959521 + 205190880400 = 461039^2 + 452980^2 .

It is a cyclic number.

It is not a de Polignac number, because 417747839921 - 230 = 416674098097 is a prime.

It is a super-2 number, since 2×4177478399212 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (417747839221) 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, 208873919960 + 208873919961.

It is an arithmetic number, because the mean of its divisors is an integer number (208873919961).

Almost surely, 2417747839921 is an apocalyptic number.

It is an amenable number.

417747839921 is a deficient number, since it is larger than the sum of its proper divisors (1).

417747839921 is an equidigital number, since it uses as much as digits as its factorization.

417747839921 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21337344, while the sum is 62.

The spelling of 417747839921 in words is "four hundred seventeen billion, seven hundred forty-seven million, eight hundred thirty-nine thousand, nine hundred twenty-one".