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90575584681 is a prime number
BaseRepresentation
bin101010001011010111…
…0011011110110101001
322122210100221102212111
41110112232123312221
52440444322202211
6105335421042321
76354355524001
oct1242656336651
9278710842774
1090575584681
113545a61340a
12156796b63a1
13870614cb2a
14455352b001
152551b75421
hex1516b9bda9

90575584681 has 2 divisors, whose sum is σ = 90575584682. Its totient is φ = 90575584680.

The previous prime is 90575584669. The next prime is 90575584699. The reversal of 90575584681 is 18648557509.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83266873600 + 7308711081 = 288560^2 + 85491^2 .

It is a cyclic number.

It is not a de Polignac number, because 90575584681 - 27 = 90575584553 is a prime.

It is a super-2 number, since 2×905755846812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (90575584181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45287792340 + 45287792341.

It is an arithmetic number, because the mean of its divisors is an integer number (45287792341).

Almost surely, 290575584681 is an apocalyptic number.

It is an amenable number.

90575584681 is a deficient number, since it is larger than the sum of its proper divisors (1).

90575584681 is an equidigital number, since it uses as much as digits as its factorization.

90575584681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096000, while the sum is 58.

The spelling of 90575584681 in words is "ninety billion, five hundred seventy-five million, five hundred eighty-four thousand, six hundred eighty-one".