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34401076889 is a prime number
BaseRepresentation
bin100000000010011101…
…101100011010011001
310021210110200202212212
4200002131230122121
51030423133430024
623445330244505
72325330220544
oct400235543231
9107713622785
1034401076889
1113653569263
126800a26735
1333231142ca
141944b6385b
15d651c6a0e
hex80276c699

34401076889 has 2 divisors, whose sum is σ = 34401076890. Its totient is φ = 34401076888.

The previous prime is 34401076883. The next prime is 34401076891. The reversal of 34401076889 is 98867010443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32289214864 + 2111862025 = 179692^2 + 45955^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34401076889 is a prime.

It is a super-2 number, since 2×344010768892 (a number of 22 digits) contains 22 as substring.

Together with 34401076891, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34401076883) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17200538444 + 17200538445.

It is an arithmetic number, because the mean of its divisors is an integer number (17200538445).

Almost surely, 234401076889 is an apocalyptic number.

It is an amenable number.

34401076889 is a deficient number, since it is larger than the sum of its proper divisors (1).

34401076889 is an equidigital number, since it uses as much as digits as its factorization.

34401076889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 34401076889 in words is "thirty-four billion, four hundred one million, seventy-six thousand, eight hundred eighty-nine".