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13444171064751 = 3737102531687571
BaseRepresentation
bin1100001110100011011100…
…0010100110010110101111
31202121020202101201110221110
43003220313002212112233
53230232130243033001
644332100020003103
72555211043352010
oct303506702462657
952536671643843
1013444171064751
114313706093889
1216116a1830493
13766a1a56355b
143469b6719007
15184aa8d2d3d6
hexc3a370a65af

13444171064751 has 32 divisors (see below), whose sum is σ = 21042105758208. Its totient is φ = 7474018020480.

The previous prime is 13444171064713. The next prime is 13444171064759. The reversal of 13444171064751 is 15746017144431.

It is a happy number.

It is not a de Polignac number, because 13444171064751 - 29 = 13444171064239 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13444171064751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13444171064759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7122796 + ... + 8810366.

It is an arithmetic number, because the mean of its divisors is an integer number (657565804944).

Almost surely, 213444171064751 is an apocalyptic number.

13444171064751 is a deficient number, since it is larger than the sum of its proper divisors (7597934693457).

13444171064751 is a wasteful number, since it uses less digits than its factorization.

13444171064751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697871.

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 13444171064751 in words is "thirteen trillion, four hundred forty-four billion, one hundred seventy-one million, sixty-four thousand, seven hundred fifty-one".

Divisors: 1 3 7 21 37 111 259 777 10253 30759 71771 215313 379361 1138083 1687571 2655527 5062713 7966581 11812997 35438991 62440127 187320381 437080889 1311242667 17302665463 51907996389 121118658241 363355974723 640198622131 1920595866393 4481390354917 13444171064751