Search a number
-
+
34815760757 is a prime number
BaseRepresentation
bin100000011011001011…
…100101100101110101
310022212100222220012122
4200123023211211311
51032300313321012
623554422325325
72341524040451
oct403313454565
9108770886178
1034815760757
11138466533a8
1268b7889845
13338acc738b
141983c6b661
15d8b7dae72
hex81b2e5975

34815760757 has 2 divisors, whose sum is σ = 34815760758. Its totient is φ = 34815760756.

The previous prime is 34815760729. The next prime is 34815760781. The reversal of 34815760757 is 75706751843.

34815760757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23689519396 + 11126241361 = 153914^2 + 105481^2 .

It is a cyclic number.

It is not a de Polignac number, because 34815760757 - 222 = 34811566453 is a prime.

It is a super-2 number, since 2×348157607572 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34815760699 and 34815760708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34815760957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17407880378 + 17407880379.

It is an arithmetic number, because the mean of its divisors is an integer number (17407880379).

Almost surely, 234815760757 is an apocalyptic number.

It is an amenable number.

34815760757 is a deficient number, since it is larger than the sum of its proper divisors (1).

34815760757 is an equidigital number, since it uses as much as digits as its factorization.

34815760757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4939200, while the sum is 53.

The spelling of 34815760757 in words is "thirty-four billion, eight hundred fifteen million, seven hundred sixty thousand, seven hundred fifty-seven".