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90918282769 is a prime number
BaseRepresentation
bin101010010101100100…
…1101110011000010001
322200200020210022021021
41110223021232120101
52442200040022034
6105433422155441
76366016436536
oct1245311563021
9280606708237
1090918282769
1135616000576
1215754422b81
13875c14a572
144586c56d8d
152571cba6b4
hex152b26e611

90918282769 has 2 divisors, whose sum is σ = 90918282770. Its totient is φ = 90918282768.

The previous prime is 90918282701. The next prime is 90918282773. The reversal of 90918282769 is 96728281909.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80251524369 + 10666758400 = 283287^2 + 103280^2 .

It is a cyclic number.

It is not a de Polignac number, because 90918282769 - 235 = 56558544401 is a prime.

It is a super-2 number, since 2×909182827692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (90918282779) 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, 45459141384 + 45459141385.

It is an arithmetic number, because the mean of its divisors is an integer number (45459141385).

Almost surely, 290918282769 is an apocalyptic number.

It is an amenable number.

90918282769 is a deficient number, since it is larger than the sum of its proper divisors (1).

90918282769 is an equidigital number, since it uses as much as digits as its factorization.

90918282769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7838208, while the sum is 61.

The spelling of 90918282769 in words is "ninety billion, nine hundred eighteen million, two hundred eighty-two thousand, seven hundred sixty-nine".