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34986422468943 = 3211353398206757
BaseRepresentation
bin1111111010001111010010…
…10010001000000101001111
311120212200001221021211202200
413331013221102020011033
514041204143123001233
6202224312434052543
710240454110135611
oct775075122100517
9146780057254680
1034986422468943
1110169727431570
123b1072a11a153
13166a2895a206a
1488d4cd7ccdb1
1540a125518313
hex1fd1e948814f

34986422468943 has 12 divisors (see below), whose sum is σ = 55130120254248. Its totient is φ = 21203892405360.

The previous prime is 34986422468941. The next prime is 34986422469007.

34986422468943 is a `hidden beast` number, since 3 + 4 + 9 + 86 + 42 + 2 + 468 + 9 + 43 = 666.

34986422468943 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34986422468943 - 21 = 34986422468941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34986422468941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176699103280 + ... + 176699103477.

It is an arithmetic number, because the mean of its divisors is an integer number (4594176687854).

Almost surely, 234986422468943 is an apocalyptic number.

34986422468943 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34986422468943 is a deficient number, since it is larger than the sum of its proper divisors (20143697785305).

34986422468943 is a wasteful number, since it uses less digits than its factorization.

34986422468943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353398206774 (or 353398206771 counting only the distinct ones).

The product of its digits is 1719926784, while the sum is 72.

The spelling of 34986422468943 in words is "thirty-four trillion, nine hundred eighty-six billion, four hundred twenty-two million, four hundred sixty-eight thousand, nine hundred forty-three".

Divisors: 1 3 9 11 33 99 353398206757 1060194620271 3180583860813 3887380274327 11662140822981 34986422468943