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34738865561 is a prime number
BaseRepresentation
bin100000010110100110…
…010000010110011001
310022200000022012211102
4200112212100112121
51032121122144221
623543034241145
72336601325301
oct402646202631
9108600265742
1034738865561
1113807202954
126895b861b5
1333780b326a
141977972601
15d84b9c30b
hex816990599

34738865561 has 2 divisors, whose sum is σ = 34738865562. Its totient is φ = 34738865560.

The previous prime is 34738865501. The next prime is 34738865563. The reversal of 34738865561 is 16556883743.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33854160025 + 884705536 = 183995^2 + 29744^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34738865561 is a prime.

Together with 34738865563, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 34738865497 and 34738865506.

It is not a weakly prime, because it can be changed into another prime (34738865563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17369432780 + 17369432781.

It is an arithmetic number, because the mean of its divisors is an integer number (17369432781).

Almost surely, 234738865561 is an apocalyptic number.

It is an amenable number.

34738865561 is a deficient number, since it is larger than the sum of its proper divisors (1).

34738865561 is an equidigital number, since it uses as much as digits as its factorization.

34738865561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14515200, while the sum is 56.

The spelling of 34738865561 in words is "thirty-four billion, seven hundred thirty-eight million, eight hundred sixty-five thousand, five hundred sixty-one".