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34501947881 is a prime number
BaseRepresentation
bin100000001000011110…
…011111000111101001
310022001111111112212112
4200020132133013221
51031124444313011
623503332252105
72330663501222
oct401036370751
9108044445775
1034501947881
11136a54a5115
12682a771035
13333aca139b
141954300249
15d6de9e58b
hex80879f1e9

34501947881 has 2 divisors, whose sum is σ = 34501947882. Its totient is φ = 34501947880.

The previous prime is 34501947863. The next prime is 34501947919. The reversal of 34501947881 is 18874910543.

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., 34304966656 + 196981225 = 185216^2 + 14035^2 .

It is a cyclic number.

It is not a de Polignac number, because 34501947881 - 218 = 34501685737 is a prime.

It is a super-3 number, since 3×345019478813 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (34501947841) 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, 17250973940 + 17250973941.

It is an arithmetic number, because the mean of its divisors is an integer number (17250973941).

Almost surely, 234501947881 is an apocalyptic number.

It is an amenable number.

34501947881 is a deficient number, since it is larger than the sum of its proper divisors (1).

34501947881 is an equidigital number, since it uses as much as digits as its factorization.

34501947881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 34501947881 in words is "thirty-four billion, five hundred one million, nine hundred forty-seven thousand, eight hundred eighty-one".