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2927393432809 is a prime number
BaseRepresentation
bin101010100110010110001…
…111101110010011101001
3101100212010002012111120221
4222212112033232103221
5340430300204322214
610120454224450041
7421332352422136
oct52462617562351
911325102174527
102927393432809
11a2955630414a
123b3422179921
1318308a383401
14a198804d58d
15512353a6e24
hex2a9963ee4e9

2927393432809 has 2 divisors, whose sum is σ = 2927393432810. Its totient is φ = 2927393432808.

The previous prime is 2927393432807. The next prime is 2927393432863. The reversal of 2927393432809 is 9082343937292.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2465465232400 + 461928200409 = 1570180^2 + 679653^2 .

It is a cyclic number.

It is not a de Polignac number, because 2927393432809 - 21 = 2927393432807 is a prime.

It is a super-2 number, since 2×29273934328092 (a number of 26 digits) contains 22 as substring.

Together with 2927393432807, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2927393432807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1463696716404 + 1463696716405.

It is an arithmetic number, because the mean of its divisors is an integer number (1463696716405).

Almost surely, 22927393432809 is an apocalyptic number.

It is an amenable number.

2927393432809 is a deficient number, since it is larger than the sum of its proper divisors (1).

2927393432809 is an equidigital number, since it uses as much as digits as its factorization.

2927393432809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35271936, while the sum is 61.

The spelling of 2927393432809 in words is "two trillion, nine hundred twenty-seven billion, three hundred ninety-three million, four hundred thirty-two thousand, eight hundred nine".