Search a number
-
+
30829728077 is a prime number
BaseRepresentation
bin11100101101100110…
…000101000101001101
32221120120120110022122
4130231212011011031
51001114402244302
622055112022325
72140663236101
oct345546050515
987516513278
1030829728077
111209063a015
125b849919a5
132ba4256265
1416c6711901
15c068c43a2
hex72d98514d

30829728077 has 2 divisors, whose sum is σ = 30829728078. Its totient is φ = 30829728076.

The previous prime is 30829728053. The next prime is 30829728079. The reversal of 30829728077 is 77082792803.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21393742756 + 9435985321 = 146266^2 + 97139^2 .

It is an emirp because it is prime and its reverse (77082792803) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30829728077 is a prime.

Together with 30829728079, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30829728079) 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, 15414864038 + 15414864039.

It is an arithmetic number, because the mean of its divisors is an integer number (15414864039).

Almost surely, 230829728077 is an apocalyptic number.

It is an amenable number.

30829728077 is a deficient number, since it is larger than the sum of its proper divisors (1).

30829728077 is an equidigital number, since it uses as much as digits as its factorization.

30829728077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2370816, while the sum is 53.

The spelling of 30829728077 in words is "thirty billion, eight hundred twenty-nine million, seven hundred twenty-eight thousand, seventy-seven".