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34735556677 is a prime number
BaseRepresentation
bin100000010110011001…
…101000100001000101
310022122210002002220011
4200112121220201011
51032114300303202
623542435310221
72336531234353
oct402631504105
9108583062804
1034735556677
1113805352938
126894a4b371
1333774c5143
1419773507d3
15d84746bd7
hex816668845

34735556677 has 2 divisors, whose sum is σ = 34735556678. Its totient is φ = 34735556676.

The previous prime is 34735556641. The next prime is 34735556683. The reversal of 34735556677 is 77665553743.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19815911361 + 14919645316 = 140769^2 + 122146^2 .

It is a cyclic number.

It is not a de Polignac number, because 34735556677 - 211 = 34735554629 is a prime.

It is a super-2 number, since 2×347355566772 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34735556077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17367778338 + 17367778339.

It is an arithmetic number, because the mean of its divisors is an integer number (17367778339).

Almost surely, 234735556677 is an apocalyptic number.

It is an amenable number.

34735556677 is a deficient number, since it is larger than the sum of its proper divisors (1).

34735556677 is an equidigital number, since it uses as much as digits as its factorization.

34735556677 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 55566000, while the sum is 58.

The spelling of 34735556677 in words is "thirty-four billion, seven hundred thirty-five million, five hundred fifty-six thousand, six hundred seventy-seven".