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157146316357 is a prime number
BaseRepresentation
bin1001001001011010100…
…1100111111001000101
3120000121210111222222011
42102112221213321011
510033313424110412
6200105250534221
714232142435552
oct2222651477105
9500553458864
10157146316357
1160710aa9428
1226557b97371
1311a84c94714
14786a917a29
15414b19b7a7
hex2496a67e45

157146316357 has 2 divisors, whose sum is σ = 157146316358. Its totient is φ = 157146316356.

The previous prime is 157146316309. The next prime is 157146316367. The reversal of 157146316357 is 753613641751.

157146316357 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., 100951717441 + 56194598916 = 317729^2 + 237054^2 .

It is a cyclic number.

It is not a de Polignac number, because 157146316357 - 211 = 157146314309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 157146316357.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (157146316367) 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, 78573158178 + 78573158179.

It is an arithmetic number, because the mean of its divisors is an integer number (78573158179).

Almost surely, 2157146316357 is an apocalyptic number.

It is an amenable number.

157146316357 is a deficient number, since it is larger than the sum of its proper divisors (1).

157146316357 is an equidigital number, since it uses as much as digits as its factorization.

157146316357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1587600, while the sum is 49.

The spelling of 157146316357 in words is "one hundred fifty-seven billion, one hundred forty-six million, three hundred sixteen thousand, three hundred fifty-seven".