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34965406753 is a prime number
BaseRepresentation
bin100000100100000110…
…011100010000100001
310100020210120200220221
4200210012130100201
51033102121004003
624021330003041
72345322024244
oct404406342041
9110223520827
1034965406753
1113913073682
126939a16481
1333b30010c4
141999aa325b
15d999ea7bd
hex82419c421

34965406753 has 2 divisors, whose sum is σ = 34965406754. Its totient is φ = 34965406752.

The previous prime is 34965406733. The next prime is 34965406769. The reversal of 34965406753 is 35760456943.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33545021409 + 1420385344 = 183153^2 + 37688^2 .

It is a cyclic number.

It is not a de Polignac number, because 34965406753 - 233 = 26375472161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34965406753.

It is not a weakly prime, because it can be changed into another prime (34965406703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17482703376 + 17482703377.

It is an arithmetic number, because the mean of its divisors is an integer number (17482703377).

Almost surely, 234965406753 is an apocalyptic number.

It is an amenable number.

34965406753 is a deficient number, since it is larger than the sum of its proper divisors (1).

34965406753 is an equidigital number, since it uses as much as digits as its factorization.

34965406753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8164800, while the sum is 52.

The spelling of 34965406753 in words is "thirty-four billion, nine hundred sixty-five million, four hundred six thousand, seven hundred fifty-three".