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19586097661 = 1321093106033
BaseRepresentation
bin10010001111011011…
…000010000111111101
31212112222200211222111
4102033123002013331
5310103020111121
612555302014021
71262235040354
oct221733020775
955488624874
1019586097661
118340929079
123967417311
131b01a09500
14d3b34299b
1579975d2e1
hex48f6c21fd

19586097661 has 12 divisors (see below), whose sum is σ = 21228218868. Its totient is φ = 18062763264.

The previous prime is 19586097653. The next prime is 19586097677. The reversal of 19586097661 is 16679068591.

It can be written as a sum of positive squares in 6 ways, for example, as 1670275161 + 17915822500 = 40869^2 + 133850^2 .

It is not a de Polignac number, because 19586097661 - 23 = 19586097653 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19586097596 and 19586097605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19586097761) 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 in 11 ways as a sum of consecutive naturals, for example, 131701 + ... + 237733.

It is an arithmetic number, because the mean of its divisors is an integer number (1769018239).

Almost surely, 219586097661 is an apocalyptic number.

It is an amenable number.

19586097661 is a deficient number, since it is larger than the sum of its proper divisors (1642121207).

19586097661 is a wasteful number, since it uses less digits than its factorization.

19586097661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107152 (or 107139 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 58.

The spelling of 19586097661 in words is "nineteen billion, five hundred eighty-six million, ninety-seven thousand, six hundred sixty-one".

Divisors: 1 13 169 1093 14209 106033 184717 1378429 17919577 115894069 1506622897 19586097661