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2357897906009 is a prime number
BaseRepresentation
bin100010010011111101101…
…010101100011101011001
322100102010221220020121102
4202103331222230131121
5302112433330443014
65003111531121145
7332231623340252
oct42237552543531
98312127806542
102357897906009
11829a84996888
12320b872a31b5
1314146c47b159
14821a1211b29
15415035b18de
hex224fdaac759

2357897906009 has 2 divisors, whose sum is σ = 2357897906010. Its totient is φ = 2357897906008.

The previous prime is 2357897905967. The next prime is 2357897906041. The reversal of 2357897906009 is 9006097987532.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2049112086784 + 308785819225 = 1431472^2 + 555685^2 .

It is a cyclic number.

It is not a de Polignac number, because 2357897906009 - 212 = 2357897901913 is a prime.

It is not a weakly prime, because it can be changed into another prime (2357897906209) 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, 1178948953004 + 1178948953005.

It is an arithmetic number, because the mean of its divisors is an integer number (1178948953005).

Almost surely, 22357897906009 is an apocalyptic number.

It is an amenable number.

2357897906009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2357897906009 is an equidigital number, since it uses as much as digits as its factorization.

2357897906009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51438240, while the sum is 65.

The spelling of 2357897906009 in words is "two trillion, three hundred fifty-seven billion, eight hundred ninety-seven million, nine hundred six thousand, nine".