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90909089977 is a prime number
BaseRepresentation
bin101010010101010011…
…0101010000010111001
322200122121111021010111
41110222212222002321
52442140211334402
6105432453144321
76365545341436
oct1245246520271
9280577437114
1090909089977
11356108a1922
121575132b0a1
13875a27c244
144585942b8d
1525710a19d7
hex152a9aa0b9

90909089977 has 2 divisors, whose sum is σ = 90909089978. Its totient is φ = 90909089976.

The previous prime is 90909089951. The next prime is 90909090043. The reversal of 90909089977 is 77998090909.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73395479056 + 17513610921 = 270916^2 + 132339^2 .

It is a cyclic number.

It is not a de Polignac number, because 90909089977 - 227 = 90774872249 is a prime.

It is a super-3 number, since 3×909090899773 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (90909089477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45454544988 + 45454544989.

It is an arithmetic number, because the mean of its divisors is an integer number (45454544989).

Almost surely, 290909089977 is an apocalyptic number.

It is an amenable number.

90909089977 is a deficient number, since it is larger than the sum of its proper divisors (1).

90909089977 is an equidigital number, since it uses as much as digits as its factorization.

90909089977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23147208, while the sum is 67.

The spelling of 90909089977 in words is "ninety billion, nine hundred nine million, eighty-nine thousand, nine hundred seventy-seven".