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153664605242041 is a prime number
BaseRepresentation
bin100010111100000111010100…
…001101011100001010111001
3202011002012012112202110120011
4202330013110031130022321
5130120120102420221131
61302452313424301521
744236621111311025
oct4274072415341271
9664065175673504
10153664605242041
1144a6487a6a4053
12152992914718a1
1367986828b778a
1429d359990d385
1512b72806c00b1
hex8bc1d435c2b9

153664605242041 has 2 divisors, whose sum is σ = 153664605242042. Its totient is φ = 153664605242040.

The previous prime is 153664605241997. The next prime is 153664605242081. The reversal of 153664605242041 is 140242506466351.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100787042525625 + 52877562716416 = 10039275^2 + 7271696^2 .

It is a cyclic number.

It is not a de Polignac number, because 153664605242041 - 221 = 153664603144889 is a prime.

It is a super-2 number, since 2×1536646052420412 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (153664605242081) 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, 76832302621020 + 76832302621021.

It is an arithmetic number, because the mean of its divisors is an integer number (76832302621021).

Almost surely, 2153664605242041 is an apocalyptic number.

It is an amenable number.

153664605242041 is a deficient number, since it is larger than the sum of its proper divisors (1).

153664605242041 is an equidigital number, since it uses as much as digits as its factorization.

153664605242041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4147200, while the sum is 49.

The spelling of 153664605242041 in words is "one hundred fifty-three trillion, six hundred sixty-four billion, six hundred five million, two hundred forty-two thousand, forty-one".