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406292998213 is a prime number
BaseRepresentation
bin1011110100110001111…
…00110010100001000101
31102211201020221210122201
411322120330302201011
523124042001420323
6510352020554501
741232214334404
oct5723074624105
91384636853581
10406292998213
11147342895073
12668aa852a31
132c40c322c1b
1415943c8163b
15a87e10a8ad
hex5e98f32845

406292998213 has 2 divisors, whose sum is σ = 406292998214. Its totient is φ = 406292998212.

The previous prime is 406292998207. The next prime is 406292998273. The reversal of 406292998213 is 312899292604.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 215038093284 + 191254904929 = 463722^2 + 437327^2 .

It is a cyclic number.

It is not a de Polignac number, because 406292998213 - 213 = 406292990021 is a prime.

It is a super-3 number, since 3×4062929982133 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406292998273) 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, 203146499106 + 203146499107.

It is an arithmetic number, because the mean of its divisors is an integer number (203146499107).

Almost surely, 2406292998213 is an apocalyptic number.

It is an amenable number.

406292998213 is a deficient number, since it is larger than the sum of its proper divisors (1).

406292998213 is an equidigital number, since it uses as much as digits as its factorization.

406292998213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3359232, while the sum is 55.

The spelling of 406292998213 in words is "four hundred six billion, two hundred ninety-two million, nine hundred ninety-eight thousand, two hundred thirteen".