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34361777713 is a prime number
BaseRepresentation
bin100000000000000111…
…110001111000110001
310021200201202011112211
4200000013301320301
51030333103341323
623441404052121
72324342201644
oct400007617061
9107621664484
1034361777713
11136333671aa
1267ab834041
133317c34763
14193d853a5b
15d61a1270d
hex8001f1e31

34361777713 has 2 divisors, whose sum is σ = 34361777714. Its totient is φ = 34361777712.

The previous prime is 34361777701. The next prime is 34361777741. The reversal of 34361777713 is 31777716343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25994467984 + 8367309729 = 161228^2 + 91473^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34361777713 is a prime.

It is not a weakly prime, because it can be changed into another prime (34361777743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17180888856 + 17180888857.

It is an arithmetic number, because the mean of its divisors is an integer number (17180888857).

Almost surely, 234361777713 is an apocalyptic number.

It is an amenable number.

34361777713 is a deficient number, since it is larger than the sum of its proper divisors (1).

34361777713 is an equidigital number, since it uses as much as digits as its factorization.

34361777713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1555848, while the sum is 49.

The spelling of 34361777713 in words is "thirty-four billion, three hundred sixty-one million, seven hundred seventy-seven thousand, seven hundred thirteen".