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157146316309 is a prime number
BaseRepresentation
bin1001001001011010100…
…1100111111000010101
3120000121210111222220101
42102112221213320111
510033313424110214
6200105250534101
714232142435453
oct2222651477025
9500553458811
10157146316309
1160710aa9394
1226557b97331
1311a84c946a8
14786a9179d3
15414b19b774
hex2496a67e15

157146316309 has 2 divisors, whose sum is σ = 157146316310. Its totient is φ = 157146316308.

The previous prime is 157146316247. The next prime is 157146316357. The reversal of 157146316309 is 903613641751.

157146316309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 145687256100 + 11459060209 = 381690^2 + 107047^2 .

It is an emirp because it is prime and its reverse (903613641751) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 157146316309 - 29 = 157146315797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (157146316109) 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, 78573158154 + 78573158155.

It is an arithmetic number, because the mean of its divisors is an integer number (78573158155).

Almost surely, 2157146316309 is an apocalyptic number.

It is an amenable number.

157146316309 is a deficient number, since it is larger than the sum of its proper divisors (1).

157146316309 is an equidigital number, since it uses as much as digits as its factorization.

157146316309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 157146316309 in words is "one hundred fifty-seven billion, one hundred forty-six million, three hundred sixteen thousand, three hundred nine".