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198292851761 is a prime number
BaseRepresentation
bin1011100010101100101…
…1001100110000110001
3200221211100222120100212
42320223023030300301
511222100432224021
6231032223553505
720216611300304
oct2705313146061
9627740876325
10198292851761
1177106166494
123251ba5b895
131591173c0a4
149851498b3b
15525865c85b
hex2e2b2ccc31

198292851761 has 2 divisors, whose sum is σ = 198292851762. Its totient is φ = 198292851760.

The previous prime is 198292851671. The next prime is 198292851763. The reversal of 198292851761 is 167158292891.

Together with previous prime (198292851671) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108277851136 + 90015000625 = 329056^2 + 300025^2 .

It is a cyclic number.

It is not a de Polignac number, because 198292851761 - 230 = 197219109937 is a prime.

It is a super-2 number, since 2×1982928517612 (a number of 23 digits) contains 22 as substring.

Together with 198292851763, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 198292851761.

It is not a weakly prime, because it can be changed into another prime (198292851763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99146425880 + 99146425881.

It is an arithmetic number, because the mean of its divisors is an integer number (99146425881).

Almost surely, 2198292851761 is an apocalyptic number.

It is an amenable number.

198292851761 is a deficient number, since it is larger than the sum of its proper divisors (1).

198292851761 is an equidigital number, since it uses as much as digits as its factorization.

198292851761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4354560, while the sum is 59.

The spelling of 198292851761 in words is "one hundred ninety-eight billion, two hundred ninety-two million, eight hundred fifty-one thousand, seven hundred sixty-one".