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90889410013 is a prime number
BaseRepresentation
bin101010010100101101…
…1100101010111011101
322200121020110102021221
41110221123211113131
52442120142110023
6105430511253341
76365216144443
oct1245133452735
9280536412257
1090889410013
113560077aa96
121574681a251
13875617b6ac
14458309cb93
15256e4b585d
hex15296e55dd

90889410013 has 2 divisors, whose sum is σ = 90889410014. Its totient is φ = 90889410012.

The previous prime is 90889409969. The next prime is 90889410089. The reversal of 90889410013 is 31001498809.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69844975524 + 21044434489 = 264282^2 + 145067^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-90889410013 is a prime.

It is a super-2 number, since 2×908894100132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90889410713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45444705006 + 45444705007.

It is an arithmetic number, because the mean of its divisors is an integer number (45444705007).

Almost surely, 290889410013 is an apocalyptic number.

It is an amenable number.

90889410013 is a deficient number, since it is larger than the sum of its proper divisors (1).

90889410013 is an equidigital number, since it uses as much as digits as its factorization.

90889410013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 43.

The spelling of 90889410013 in words is "ninety billion, eight hundred eighty-nine million, four hundred ten thousand, thirteen".