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91819101013 = 1729186245641
BaseRepresentation
bin101010110000011011…
…0000100101101010101
322210000000211121120221
41111200312010231111
53001021142213023
6110103041554341
76430235324023
oct1254066045525
9283000747527
1091819101013
1135a38541662
12159660459b1
13887396c503
144630747713
1525c5e0985d
hex1560d84b55

91819101013 has 8 divisors (see below), whose sum is σ = 100572646680. Its totient is φ = 83438046720.

The previous prime is 91819101001. The next prime is 91819101019. The reversal of 91819101013 is 31010191819.

It can be written as a sum of positive squares in 4 ways, for example, as 50876411364 + 40942689649 = 225558^2 + 202343^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 91819101013 - 225 = 91785546581 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 91819101013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91819101019) 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 in 7 ways as a sum of consecutive naturals, for example, 93122328 + ... + 93123313.

It is an arithmetic number, because the mean of its divisors is an integer number (12571580835).

Almost surely, 291819101013 is an apocalyptic number.

It is an amenable number.

91819101013 is a deficient number, since it is larger than the sum of its proper divisors (8753545667).

91819101013 is a wasteful number, since it uses less digits than its factorization.

91819101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186245687.

The product of its (nonzero) digits is 1944, while the sum is 34.

The spelling of 91819101013 in words is "ninety-one billion, eight hundred nineteen million, one hundred one thousand, thirteen".

Divisors: 1 17 29 493 186245641 3166175897 5401123589 91819101013