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34579654009 is a prime number
BaseRepresentation
bin100000001101000110…
…111010010101111001
310022020220201102122021
4200031012322111321
51031304342412014
623515145554441
72332626131545
oct401506722571
9108226642567
1034579654009
111373534995a
1268507a5a21
13335110a644
14196076aa25
15d75bed624
hex80d1ba579

34579654009 has 2 divisors, whose sum is σ = 34579654010. Its totient is φ = 34579654008.

The previous prime is 34579654007. The next prime is 34579654069. The reversal of 34579654009 is 90045697543.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32356814400 + 2222839609 = 179880^2 + 47147^2 .

It is an emirp because it is prime and its reverse (90045697543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34579654009 - 21 = 34579654007 is a prime.

Together with 34579654007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (34579654003) 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 as a sum of consecutive naturals, namely, 17289827004 + 17289827005.

It is an arithmetic number, because the mean of its divisors is an integer number (17289827005).

Almost surely, 234579654009 is an apocalyptic number.

It is an amenable number.

34579654009 is a deficient number, since it is larger than the sum of its proper divisors (1).

34579654009 is an equidigital number, since it uses as much as digits as its factorization.

34579654009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4082400, while the sum is 52.

The spelling of 34579654009 in words is "thirty-four billion, five hundred seventy-nine million, six hundred fifty-four thousand, nine".