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39728034769 is a prime number
BaseRepresentation
bin100100111111111110…
…011011001111010001
310210112201022021100011
4210333332123033101
51122330334103034
630130101354521
72604332503153
oct447776331721
9123481267304
1039728034769
1115937492595
127848a08a41
13399191c0a7
141ccc414ad3
151077bb4864
hex93ff9b3d1

39728034769 has 2 divisors, whose sum is σ = 39728034770. Its totient is φ = 39728034768.

The previous prime is 39728034727. The next prime is 39728034809. The reversal of 39728034769 is 96743082793.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38381511744 + 1346523025 = 195912^2 + 36695^2 .

It is a cyclic number.

It is not a de Polignac number, because 39728034769 - 29 = 39728034257 is a prime.

It is a super-2 number, since 2×397280347692 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (39728034169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19864017384 + 19864017385.

It is an arithmetic number, because the mean of its divisors is an integer number (19864017385).

Almost surely, 239728034769 is an apocalyptic number.

It is an amenable number.

39728034769 is a deficient number, since it is larger than the sum of its proper divisors (1).

39728034769 is an equidigital number, since it uses as much as digits as its factorization.

39728034769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13716864, while the sum is 58.

The spelling of 39728034769 in words is "thirty-nine billion, seven hundred twenty-eight million, thirty-four thousand, seven hundred sixty-nine".