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187165590497 is a prime number
BaseRepresentation
bin1010111001001111110…
…0000100001111100001
3122220002220002010111022
42232103330010033201
511031303342343442
6221552132055225
716344065161334
oct2562374041741
9586086063438
10187165590497
11724161073a6
1230335464515
131485a347722
1490b773c61b
154d068313d2
hex2b93f043e1

187165590497 has 2 divisors, whose sum is σ = 187165590498. Its totient is φ = 187165590496.

The previous prime is 187165590439. The next prime is 187165590503. The reversal of 187165590497 is 794095561781.

187165590497 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181694177536 + 5471412961 = 426256^2 + 73969^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-187165590497 is a prime.

It is not a weakly prime, because it can be changed into another prime (187165590197) 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, 93582795248 + 93582795249.

It is an arithmetic number, because the mean of its divisors is an integer number (93582795249).

Almost surely, 2187165590497 is an apocalyptic number.

It is an amenable number.

187165590497 is a deficient number, since it is larger than the sum of its proper divisors (1).

187165590497 is an equidigital number, since it uses as much as digits as its factorization.

187165590497 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19051200, while the sum is 62.

The spelling of 187165590497 in words is "one hundred eighty-seven billion, one hundred sixty-five million, five hundred ninety thousand, four hundred ninety-seven".