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34701468749 is a prime number
BaseRepresentation
bin100000010100010111…
…100110010001001101
310022120101221021001022
4200110113212101031
51032032033444444
623535220523525
72335635421553
oct402427462115
9108511837038
1034701468749
11137980900a2
1268855505a5
13337041b57c
1419729d9bd3
15d817619ee
hex8145e644d

34701468749 has 2 divisors, whose sum is σ = 34701468750. Its totient is φ = 34701468748.

The previous prime is 34701468719. The next prime is 34701468761. The reversal of 34701468749 is 94786410743.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30251644900 + 4449823849 = 173930^2 + 66707^2 .

It is a cyclic number.

It is not a de Polignac number, because 34701468749 - 28 = 34701468493 is a prime.

It is a super-3 number, since 3×347014687493 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34701468749.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34701468709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17350734374 + 17350734375.

It is an arithmetic number, because the mean of its divisors is an integer number (17350734375).

Almost surely, 234701468749 is an apocalyptic number.

It is an amenable number.

34701468749 is a deficient number, since it is larger than the sum of its proper divisors (1).

34701468749 is an equidigital number, since it uses as much as digits as its factorization.

34701468749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4064256, while the sum is 53.

The spelling of 34701468749 in words is "thirty-four billion, seven hundred one million, four hundred sixty-eight thousand, seven hundred forty-nine".