Search a number
-
+
191214917089793 is a prime number
BaseRepresentation
bin101011011110100010110001…
…001101010111101000000001
3221002000222010100020120222122
4223132202301031113220001
5200030331122233333133
61514402530434014025
755163551620546032
oct5336426115275001
9832028110216878
10191214917089793
1155a21877809803
1219542894a17315
13829064902850c
143530bcc220a89
151718e13720498
hexade8b1357a01

191214917089793 has 2 divisors, whose sum is σ = 191214917089794. Its totient is φ = 191214917089792.

The previous prime is 191214917089759. The next prime is 191214917089853. The reversal of 191214917089793 is 397980719412191.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107790222190849 + 83424694898944 = 10382207^2 + 9133712^2 .

It is a cyclic number.

It is not a de Polignac number, because 191214917089793 - 232 = 191210622122497 is a prime.

It is a super-2 number, since 2×1912149170897932 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (191214917085793) 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, 95607458544896 + 95607458544897.

It is an arithmetic number, because the mean of its divisors is an integer number (95607458544897).

Almost surely, 2191214917089793 is an apocalyptic number.

It is an amenable number.

191214917089793 is a deficient number, since it is larger than the sum of its proper divisors (1).

191214917089793 is an equidigital number, since it uses as much as digits as its factorization.

191214917089793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61725888, while the sum is 71.

The spelling of 191214917089793 in words is "one hundred ninety-one trillion, two hundred fourteen billion, nine hundred seventeen million, eighty-nine thousand, seven hundred ninety-three".