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34757437681 is a prime number
BaseRepresentation
bin100000010111101101…
…000110100011110001
310022201022020202222201
4200113231012203301
51032140401001211
623544540303201
72340215226361
oct402755064361
9108638222881
1034757437681
111381673840a
1268a0241b01
13337bbb6795
14197a2089a1
15d8661a0c1
hex817b468f1

34757437681 has 2 divisors, whose sum is σ = 34757437682. Its totient is φ = 34757437680.

The previous prime is 34757437679. The next prime is 34757437753. The reversal of 34757437681 is 18673475743.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33109077681 + 1648360000 = 181959^2 + 40600^2 .

It is a cyclic number.

It is not a de Polignac number, because 34757437681 - 21 = 34757437679 is a prime.

It is a super-2 number, since 2×347574376812 (a number of 22 digits) contains 22 as substring.

Together with 34757437679, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (34757437081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17378718840 + 17378718841.

It is an arithmetic number, because the mean of its divisors is an integer number (17378718841).

Almost surely, 234757437681 is an apocalyptic number.

It is an amenable number.

34757437681 is a deficient number, since it is larger than the sum of its proper divisors (1).

34757437681 is an equidigital number, since it uses as much as digits as its factorization.

34757437681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11854080, while the sum is 55.

The spelling of 34757437681 in words is "thirty-four billion, seven hundred fifty-seven million, four hundred thirty-seven thousand, six hundred eighty-one".