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157863816729 = 342669373013
BaseRepresentation
bin1001001100000101101…
…0101010111000011001
3120002110210121210110000
42103001122222320121
510041301114113404
6200304401243213
714256004205433
oct2230132527031
9502423553400
10157863816729
1160a4a011043
1226718333509
1311b6a820558
1478d7d29653
15418e179339
hex24c16aae19

157863816729 has 20 divisors (see below), whose sum is σ = 235833321636. Its totient is φ = 105237160416.

The previous prime is 157863816683. The next prime is 157863816731. The reversal of 157863816729 is 927618368751.

157863816729 is a `hidden beast` number, since 1 + 578 + 6 + 38 + 1 + 6 + 7 + 29 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46764927504 + 111098889225 = 216252^2 + 333315^2 .

It is not a de Polignac number, because 157863816729 - 211 = 157863814681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (157863816029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2125627 + ... + 2198639.

Almost surely, 2157863816729 is an apocalyptic number.

It is an amenable number.

157863816729 is a deficient number, since it is larger than the sum of its proper divisors (77969504907).

157863816729 is an equidigital number, since it uses as much as digits as its factorization.

157863816729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99718 (or 99709 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 157863816729 in words is "one hundred fifty-seven billion, eight hundred sixty-three million, eight hundred sixteen thousand, seven hundred twenty-nine".

Divisors: 1 3 9 27 81 26693 73013 80079 219039 240237 657117 720711 1971351 2162133 5914053 1948936009 5846808027 17540424081 52621272243 157863816729