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34988824769 is a prime number
BaseRepresentation
bin100000100101011111…
…110001100011000001
310100022102122110101212
4200211133301203001
51033124114343034
624023523535505
72346025050323
oct404537614301
9110272573355
1034988824769
1113925308a08
12694582a595
1333b7b10212
14199cc3b613
15d9bac42ce
hex8257f18c1

34988824769 has 2 divisors, whose sum is σ = 34988824770. Its totient is φ = 34988824768.

The previous prime is 34988824763. The next prime is 34988824799. The reversal of 34988824769 is 96742888943.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24045154225 + 10943670544 = 155065^2 + 104612^2 .

It is a cyclic number.

It is not a de Polignac number, because 34988824769 - 216 = 34988759233 is a prime.

It is a super-2 number, since 2×349888247692 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34988824699 and 34988824708.

It is not a weakly prime, because it can be changed into another prime (34988824763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17494412384 + 17494412385.

It is an arithmetic number, because the mean of its divisors is an integer number (17494412385).

Almost surely, 234988824769 is an apocalyptic number.

It is an amenable number.

34988824769 is a deficient number, since it is larger than the sum of its proper divisors (1).

34988824769 is an equidigital number, since it uses as much as digits as its factorization.

34988824769 is an evil number, because the sum of its binary digits is even.

The product of its digits is 167215104, while the sum is 68.

The spelling of 34988824769 in words is "thirty-four billion, nine hundred eighty-eight million, eight hundred twenty-four thousand, seven hundred sixty-nine".