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136824053057 is a prime number
BaseRepresentation
bin111111101101101011…
…0010101110101000001
3111002011111121001120122
41333123112111311001
54220203424144212
6142504530150025
712612425155526
oct1773326256501
9432144531518
10136824053057
115303267a1aa
1222626122315
13cb968c5653
14689d90514d
15385bec5272
hex1fdb595d41

136824053057 has 2 divisors, whose sum is σ = 136824053058. Its totient is φ = 136824053056.

The previous prime is 136824053039. The next prime is 136824053059. The reversal of 136824053057 is 750350428631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117847337521 + 18976715536 = 343289^2 + 137756^2 .

It is a cyclic number.

It is not a de Polignac number, because 136824053057 - 232 = 132529085761 is a prime.

Together with 136824053059, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 136824052999 and 136824053017.

It is not a weakly prime, because it can be changed into another prime (136824053059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68412026528 + 68412026529.

It is an arithmetic number, because the mean of its divisors is an integer number (68412026529).

Almost surely, 2136824053057 is an apocalyptic number.

It is an amenable number.

136824053057 is a deficient number, since it is larger than the sum of its proper divisors (1).

136824053057 is an equidigital number, since it uses as much as digits as its factorization.

136824053057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 136824053057 in words is "one hundred thirty-six billion, eight hundred twenty-four million, fifty-three thousand, fifty-seven".