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408135424079519 is a prime number
BaseRepresentation
bin101110011001100100110111…
…0111110001111011010011111
31222112002100212102221112220222
41130303021232332033122133
5411443342322031021034
64004010454143031555
7151652545165425053
oct13463115676173237
91875070772845828
10408135424079519
11109054296908204
123993746789b5bb
131469700b997b36
1472adc078c5c63
15322b8141cc12e
hex173326ef8f69f

408135424079519 has 2 divisors, whose sum is σ = 408135424079520. Its totient is φ = 408135424079518.

The previous prime is 408135424079473. The next prime is 408135424079533. The reversal of 408135424079519 is 915970424531804.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-408135424079519 is a prime.

It is a super-2 number, since 2×4081354240795192 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (408135424070519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204067712039759 + 204067712039760.

It is an arithmetic number, because the mean of its divisors is an integer number (204067712039760).

Almost surely, 2408135424079519 is an apocalyptic number.

408135424079519 is a deficient number, since it is larger than the sum of its proper divisors (1).

408135424079519 is an equidigital number, since it uses as much as digits as its factorization.

408135424079519 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43545600, while the sum is 62.

The spelling of 408135424079519 in words is "four hundred eight trillion, one hundred thirty-five billion, four hundred twenty-four million, seventy-nine thousand, five hundred nineteen".