Search a number
-
+
192134357600833 is a prime number
BaseRepresentation
bin101011101011111011000100…
…001000100100101001000001
3221012021212100201202221220101
4223223323010020210221001
5200140412131021211313
61520345145543042401
755320151331131234
oct5353730410445101
9835255321687811
10192134357600833
11562467a5a2a24a
1219670b13740401
1383292662a899b
1435634d148d41b
151732cc77ed5dd
hexaebec4224a41

192134357600833 has 2 divisors, whose sum is σ = 192134357600834. Its totient is φ = 192134357600832.

The previous prime is 192134357600827. The next prime is 192134357600891. The reversal of 192134357600833 is 338006753431291.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 172120965382144 + 20013392218689 = 13119488^2 + 4473633^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-192134357600833 is a prime.

It is a super-2 number, since 2×1921343576008332 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (192134357601833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 96067178800416 + 96067178800417.

It is an arithmetic number, because the mean of its divisors is an integer number (96067178800417).

It is a 1-persistent number, because it is pandigital, but 2⋅192134357600833 = 384268715201666 is not.

Almost surely, 2192134357600833 is an apocalyptic number.

It is an amenable number.

192134357600833 is a deficient number, since it is larger than the sum of its proper divisors (1).

192134357600833 is an equidigital number, since it uses as much as digits as its factorization.

192134357600833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 192134357600833 in words is "one hundred ninety-two trillion, one hundred thirty-four billion, three hundred fifty-seven million, six hundred thousand, eight hundred thirty-three".