Search a number
-
+
33834806897 is a prime number
BaseRepresentation
bin11111100000101101…
…100010111001110001
310020100000011021111012
4133200231202321301
51023243202310042
623313221200305
72305313053613
oct374055427161
9106300137435
1033834806897
1113392959231
126683260095
1332629c83c8
1418cd87adb3
15d3061ce82
hex7e0b62e71

33834806897 has 2 divisors, whose sum is σ = 33834806898. Its totient is φ = 33834806896.

The previous prime is 33834806893. The next prime is 33834806953. The reversal of 33834806897 is 79860843833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30835711201 + 2999095696 = 175601^2 + 54764^2 .

It is a cyclic number.

It is not a de Polignac number, because 33834806897 - 22 = 33834806893 is a prime.

It is a super-2 number, since 2×338348068972 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33834806893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16917403448 + 16917403449.

It is an arithmetic number, because the mean of its divisors is an integer number (16917403449).

Almost surely, 233834806897 is an apocalyptic number.

It is an amenable number.

33834806897 is a deficient number, since it is larger than the sum of its proper divisors (1).

33834806897 is an equidigital number, since it uses as much as digits as its factorization.

33834806897 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20901888, while the sum is 59.

The spelling of 33834806897 in words is "thirty-three billion, eight hundred thirty-four million, eight hundred six thousand, eight hundred ninety-seven".