Search a number
-
+
2879582901113 is a prime number
BaseRepresentation
bin101001111001110100100…
…001000001001101111001
3101012021201002020211211202
4221321310201001031321
5334134341210313423
610042510115103545
7415020514542662
oct51716441011571
911167632224752
102879582901113
11a10251528036
123a60ba5a1bb5
1317b70b0c8479
149d530418369
154ed87d4d728
hex29e74841379

2879582901113 has 2 divisors, whose sum is σ = 2879582901114. Its totient is φ = 2879582901112.

The previous prime is 2879582901089. The next prime is 2879582901121. The reversal of 2879582901113 is 3111092859782.

2879582901113 is digitally balanced in base 3, 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., 1837250124304 + 1042332776809 = 1355452^2 + 1020947^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2879582901113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2879582901413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1439791450556 + 1439791450557.

It is an arithmetic number, because the mean of its divisors is an integer number (1439791450557).

Almost surely, 22879582901113 is an apocalyptic number.

It is an amenable number.

2879582901113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2879582901113 is an equidigital number, since it uses as much as digits as its factorization.

2879582901113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2177280, while the sum is 56.

The spelling of 2879582901113 in words is "two trillion, eight hundred seventy-nine billion, five hundred eighty-two million, nine hundred one thousand, one hundred thirteen".