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30753435749 is a prime number
BaseRepresentation
bin11100101001000011…
…000011000001100101
32221101021000101220212
4130221003003001211
51000440334420444
622043344505205
72136045614351
oct345103030145
987337011825
1030753435749
1112051570503
125b6331b205
132b914c367a
1416ba532461
15beed5419e
hex7290c3065

30753435749 has 2 divisors, whose sum is σ = 30753435750. Its totient is φ = 30753435748.

The previous prime is 30753435683. The next prime is 30753435751. The reversal of 30753435749 is 94753435703.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29532422500 + 1221013249 = 171850^2 + 34943^2 .

It is a cyclic number.

It is not a de Polignac number, because 30753435749 - 216 = 30753370213 is a prime.

Together with 30753435751, 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 = 30753435697 and 30753435706.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30753435799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15376717874 + 15376717875.

It is an arithmetic number, because the mean of its divisors is an integer number (15376717875).

Almost surely, 230753435749 is an apocalyptic number.

It is an amenable number.

30753435749 is a deficient number, since it is larger than the sum of its proper divisors (1).

30753435749 is an equidigital number, since it uses as much as digits as its factorization.

30753435749 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4762800, while the sum is 50.

The spelling of 30753435749 in words is "thirty billion, seven hundred fifty-three million, four hundred thirty-five thousand, seven hundred forty-nine".