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157617147329 is a prime number
BaseRepresentation
bin1001001011001010110…
…1101100110111000001
3120001211121110200122022
42102302231230313001
510040244442203304
6200224110251225
714246620434605
oct2226255546701
9501747420568
10157617147329
1160932852734
12266697b6b15
1311b2b6a5b25
1478b3279505
1541776a1ebe
hex24b2b6cdc1

157617147329 has 2 divisors, whose sum is σ = 157617147330. Its totient is φ = 157617147328.

The previous prime is 157617147319. The next prime is 157617147341. The reversal of 157617147329 is 923741716751.

157617147329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 156283436929 + 1333710400 = 395327^2 + 36520^2 .

It is a cyclic number.

It is not a de Polignac number, because 157617147329 - 228 = 157348711873 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (157617147319) 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, 78808573664 + 78808573665.

It is an arithmetic number, because the mean of its divisors is an integer number (78808573665).

Almost surely, 2157617147329 is an apocalyptic number.

It is an amenable number.

157617147329 is a deficient number, since it is larger than the sum of its proper divisors (1).

157617147329 is an equidigital number, since it uses as much as digits as its factorization.

157617147329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2222640, while the sum is 53.

The spelling of 157617147329 in words is "one hundred fifty-seven billion, six hundred seventeen million, one hundred forty-seven thousand, three hundred twenty-nine".