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34814756849 is a prime number
BaseRepresentation
bin100000011011000111…
…110000011111110001
310022212022002220002212
4200123013300133301
51032300034204344
623554345021505
72341512356555
oct403307603761
9108768086085
1034814756849
1113846028124
1268b7484895
13338aa35452
141983a89865
15d8b68d79e
hex81b1f07f1

34814756849 has 2 divisors, whose sum is σ = 34814756850. Its totient is φ = 34814756848.

The previous prime is 34814756839. The next prime is 34814756857. The reversal of 34814756849 is 94865741843.

34814756849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26523379600 + 8291377249 = 162860^2 + 91057^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34814756849 is a prime.

It is not a weakly prime, because it can be changed into another prime (34814756839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17407378424 + 17407378425.

It is an arithmetic number, because the mean of its divisors is an integer number (17407378425).

Almost surely, 234814756849 is an apocalyptic number.

It is an amenable number.

34814756849 is a deficient number, since it is larger than the sum of its proper divisors (1).

34814756849 is an equidigital number, since it uses as much as digits as its factorization.

34814756849 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23224320, while the sum is 59.

The spelling of 34814756849 in words is "thirty-four billion, eight hundred fourteen million, seven hundred fifty-six thousand, eight hundred forty-nine".