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34514395661 is a prime number
BaseRepresentation
bin100000001001001101…
…111110001000001101
310022002100220222000102
4200021031332020031
51031141141130121
623504455140445
72331204344144
oct401115761015
9108070828012
1034514395661
1113701527339
126832974725
13334073c135
141955c2075b
15d7010c90b
hex80937e20d

34514395661 has 2 divisors, whose sum is σ = 34514395662. Its totient is φ = 34514395660.

The previous prime is 34514395637. The next prime is 34514395681. The reversal of 34514395661 is 16659341543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34375014025 + 139381636 = 185405^2 + 11806^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34514395661 is a prime.

It is a super-3 number, since 3×345143956613 (a number of 33 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34514395681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17257197830 + 17257197831.

It is an arithmetic number, because the mean of its divisors is an integer number (17257197831).

Almost surely, 234514395661 is an apocalyptic number.

It is an amenable number.

34514395661 is a deficient number, since it is larger than the sum of its proper divisors (1).

34514395661 is an equidigital number, since it uses as much as digits as its factorization.

34514395661 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1166400, while the sum is 47.

The spelling of 34514395661 in words is "thirty-four billion, five hundred fourteen million, three hundred ninety-five thousand, six hundred sixty-one".