Search a number
-
+
33840271873 is a prime number
BaseRepresentation
bin11111100001000010…
…011001001000000001
310020100101102221000201
4133201002121020001
51023301102144443
623313534245201
72305410364522
oct374102311001
9106311387021
1033840271873
1113395a51141
126685056801
133263b8ca15
1418d04a0849
15d30d4c34d
hex7e1099201

33840271873 has 2 divisors, whose sum is σ = 33840271874. Its totient is φ = 33840271872.

The previous prime is 33840271867. The next prime is 33840271909. The reversal of 33840271873 is 37817204833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33818106609 + 22165264 = 183897^2 + 4708^2 .

It is an emirp because it is prime and its reverse (37817204833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33840271873 - 217 = 33840140801 is a prime.

It is a super-2 number, since 2×338402718732 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33840271273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16920135936 + 16920135937.

It is an arithmetic number, because the mean of its divisors is an integer number (16920135937).

Almost surely, 233840271873 is an apocalyptic number.

It is an amenable number.

33840271873 is a deficient number, since it is larger than the sum of its proper divisors (1).

33840271873 is an equidigital number, since it uses as much as digits as its factorization.

33840271873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 33840271873 in words is "thirty-three billion, eight hundred forty million, two hundred seventy-one thousand, eight hundred seventy-three".