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90829301653 is a prime number
BaseRepresentation
bin101010010010111011…
…0010010011110010101
322200110001100121010101
41110211312102132111
52442004300123103
6105420523054101
76363556216426
oct1244566223625
9280401317111
1090829301653
113557a855762
121572a671331
13874689430c
1445790d364d
152569090a1d
hex1525d92795

90829301653 has 2 divisors, whose sum is σ = 90829301654. Its totient is φ = 90829301652.

The previous prime is 90829301627. The next prime is 90829301699. The reversal of 90829301653 is 35610392809.

It is a happy number.

It is an a-pointer prime, because the next prime (90829301699) can be obtained adding 90829301653 to its sum of digits (46).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88246425969 + 2582875684 = 297063^2 + 50822^2 .

It is a cyclic number.

It is not a de Polignac number, because 90829301653 - 217 = 90829170581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90829301623) 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, 45414650826 + 45414650827.

It is an arithmetic number, because the mean of its divisors is an integer number (45414650827).

Almost surely, 290829301653 is an apocalyptic number.

It is an amenable number.

90829301653 is a deficient number, since it is larger than the sum of its proper divisors (1).

90829301653 is an equidigital number, since it uses as much as digits as its factorization.

90829301653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 90829301653 in words is "ninety billion, eight hundred twenty-nine million, three hundred one thousand, six hundred fifty-three".