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34813000447 is a prime number
BaseRepresentation
bin100000011011000001…
…000011101011111111
310022212011210122202221
4200123001003223333
51032244112003242
623554243230211
72341461423061
oct403301035377
9108764718687
1034813000447
1113845038555
1268b6978367
13338a56bb64
14198374d731
15d8b443167
hex81b043aff

34813000447 has 2 divisors, whose sum is σ = 34813000448. Its totient is φ = 34813000446.

The previous prime is 34813000433. The next prime is 34813000457. The reversal of 34813000447 is 74400031843.

34813000447 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34813000447 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34813000457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17406500223 + 17406500224.

It is an arithmetic number, because the mean of its divisors is an integer number (17406500224).

Almost surely, 234813000447 is an apocalyptic number.

34813000447 is the 99733-rd centered heptagonal number.

34813000447 is a deficient number, since it is larger than the sum of its proper divisors (1).

34813000447 is an equidigital number, since it uses as much as digits as its factorization.

34813000447 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 34813000447 in words is "thirty-four billion, eight hundred thirteen million, four hundred forty-seven", and thus it is an aban number.