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34856757569 is a prime number
BaseRepresentation
bin100000011101100111…
…111110100101000001
310022222020010202021002
4200131213332211001
51032341312220234
624002445141345
72342532356624
oct403547764501
9108866122232
1034856757569
1113867804967
12690955a855
13339664c84a
14198949ddbb
15d901d827e
hex81d9fe941

34856757569 has 2 divisors, whose sum is σ = 34856757570. Its totient is φ = 34856757568.

The previous prime is 34856757557. The next prime is 34856757587. The reversal of 34856757569 is 96575765843.

34856757569 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21386137600 + 13470619969 = 146240^2 + 116063^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34856757569 is a prime.

It is a super-2 number, since 2×348567575692 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34856757539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17428378784 + 17428378785.

It is an arithmetic number, because the mean of its divisors is an integer number (17428378785).

Almost surely, 234856757569 is an apocalyptic number.

It is an amenable number.

34856757569 is a deficient number, since it is larger than the sum of its proper divisors (1).

34856757569 is an equidigital number, since it uses as much as digits as its factorization.

34856757569 is an evil number, because the sum of its binary digits is even.

The product of its digits is 190512000, while the sum is 65.

The spelling of 34856757569 in words is "thirty-four billion, eight hundred fifty-six million, seven hundred fifty-seven thousand, five hundred sixty-nine".