Search a number
-
+
34738061549 is a prime number
BaseRepresentation
bin100000010110100011…
…001100000011101101
310022122221210100221012
4200112203030003231
51032120420432144
623543005115005
72336561436242
oct402643140355
9108587710835
1034738061549
1113806803884
126895858a65
133377b91309
1419778035c9
15d84a8de9e
hex8168cc0ed

34738061549 has 2 divisors, whose sum is σ = 34738061550. Its totient is φ = 34738061548.

The previous prime is 34738061543. The next prime is 34738061591. The reversal of 34738061549 is 94516083743.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34677143524 + 60918025 = 186218^2 + 7805^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34738061549 is a prime.

It is a super-2 number, since 2×347380615492 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34738061497 and 34738061506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34738061543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17369030774 + 17369030775.

It is an arithmetic number, because the mean of its divisors is an integer number (17369030775).

Almost surely, 234738061549 is an apocalyptic number.

It is an amenable number.

34738061549 is a deficient number, since it is larger than the sum of its proper divisors (1).

34738061549 is an equidigital number, since it uses as much as digits as its factorization.

34738061549 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 34738061549 in words is "thirty-four billion, seven hundred thirty-eight million, sixty-one thousand, five hundred forty-nine".