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187018686817 is a prime number
BaseRepresentation
bin1010111000101100101…
…1101011000101100001
3122212201122122122112021
42232023023223011201
511031003240434232
6221525403301441
716340332415614
oct2561313530541
9585648578467
10187018686817
117235019a4a6
12302b421a881
1314835a90c81
1490a201c17b
154ce89b4397
hex2b8b2eb161

187018686817 has 2 divisors, whose sum is σ = 187018686818. Its totient is φ = 187018686816.

The previous prime is 187018686797. The next prime is 187018686889. The reversal of 187018686817 is 718686810781.

187018686817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 179953275681 + 7065411136 = 424209^2 + 84056^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-187018686817 is a prime.

It is not a weakly prime, because it can be changed into another prime (187018686317) 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, 93509343408 + 93509343409.

It is an arithmetic number, because the mean of its divisors is an integer number (93509343409).

Almost surely, 2187018686817 is an apocalyptic number.

It is an amenable number.

187018686817 is a deficient number, since it is larger than the sum of its proper divisors (1).

187018686817 is an equidigital number, since it uses as much as digits as its factorization.

187018686817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7225344, while the sum is 61.

The spelling of 187018686817 in words is "one hundred eighty-seven billion, eighteen million, six hundred eighty-six thousand, eight hundred seventeen".