Search a number
-
+
3998978798993 is a prime number
BaseRepresentation
bin111010001100010101101…
…101011111010110010001
3112011022001201010022111122
4322030111231133112101
51011004402033031433
612301034442052025
7561626264641523
oct72142555372621
915138051108448
103998978798993
111301a593081a2
12547041aaa015
13230143377599
14db7a1873a13
156e0514dc198
hex3a315b5f591

3998978798993 has 2 divisors, whose sum is σ = 3998978798994. Its totient is φ = 3998978798992.

The previous prime is 3998978798887. The next prime is 3998978799001.

3998978798993 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3340311833104 + 658666965889 = 1827652^2 + 811583^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3998978798993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3998978798993.

It is not a weakly prime, because it can be changed into another prime (3998978798093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1999489399496 + 1999489399497.

It is an arithmetic number, because the mean of its divisors is an integer number (1999489399497).

Almost surely, 23998978798993 is an apocalyptic number.

It is an amenable number.

3998978798993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3998978798993 is an equidigital number, since it uses as much as digits as its factorization.

3998978798993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 119995126272, while the sum is 98.

The spelling of 3998978798993 in words is "three trillion, nine hundred ninety-eight billion, nine hundred seventy-eight million, seven hundred ninety-eight thousand, nine hundred ninety-three".