Search a number
-
+
202664671005893 is a prime number
BaseRepresentation
bin101110000101001010001011…
…101110010100110011000101
3222120120112221101020110021012
4232011022023232110303011
5203030424221234142033
61555010510424532005
760455016322204355
oct5605121356246305
9876515841213235
10202664671005893
1159636671364638
121a891930321005
138911272859535
14380904570cb65
151866b8e759248
hexb8528bb94cc5

202664671005893 has 2 divisors, whose sum is σ = 202664671005894. Its totient is φ = 202664671005892.

The previous prime is 202664671005871. The next prime is 202664671005947. The reversal of 202664671005893 is 398500176466202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200220179406724 + 2444491599169 = 14149918^2 + 1563487^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202664671005893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202664671001893) 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, 101332335502946 + 101332335502947.

It is an arithmetic number, because the mean of its divisors is an integer number (101332335502947).

It is a 2-persistent number, because it is pandigital, and so is 2⋅202664671005893 = 405329342011786, but 3⋅202664671005893 = 607994013017679 is not.

Almost surely, 2202664671005893 is an apocalyptic number.

It is an amenable number.

202664671005893 is a deficient number, since it is larger than the sum of its proper divisors (1).

202664671005893 is an equidigital number, since it uses as much as digits as its factorization.

202664671005893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26127360, while the sum is 59.

The spelling of 202664671005893 in words is "two hundred two trillion, six hundred sixty-four billion, six hundred seventy-one million, five thousand, eight hundred ninety-three".