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34104435356557 is a prime number
BaseRepresentation
bin1111100000100100011101…
…10000010011001110001101
311110202100111201221021001001
413300102032300103032031
513432231340422402212
6200311210013220301
710116651462314446
oct760221660231615
9143670451837031
1034104435356557
11a959678726855
1239a9802491691
13160505a909547
1485c94082a2cd
153e220458d657
hex1f048ec1338d

34104435356557 has 2 divisors, whose sum is σ = 34104435356558. Its totient is φ = 34104435356556.

The previous prime is 34104435356489. The next prime is 34104435356569. The reversal of 34104435356557 is 75565353440143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17999832949641 + 16104602406916 = 4242621^2 + 4013054^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34104435356557 is a prime.

It is a super-2 number, since 2×341044353565572 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34104435356498 and 34104435356507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34104435354557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17052217678278 + 17052217678279.

It is an arithmetic number, because the mean of its divisors is an integer number (17052217678279).

Almost surely, 234104435356557 is an apocalyptic number.

It is an amenable number.

34104435356557 is a deficient number, since it is larger than the sum of its proper divisors (1).

34104435356557 is an equidigital number, since it uses as much as digits as its factorization.

34104435356557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360000, while the sum is 55.

The spelling of 34104435356557 in words is "thirty-four trillion, one hundred four billion, four hundred thirty-five million, three hundred fifty-six thousand, five hundred fifty-seven".