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13444466679 = 3272109389719
BaseRepresentation
bin11001000010101101…
…00100011111110111
31021200222010200010100
430201112210133313
5210013240413204
610102025325143
7654111036600
oct144126443767
937628120110
1013444466679
11577a061896
1227326367b3
1313634b1c37
149177c6da7
1553a49aa39
hex3215a47f7

13444466679 has 72 divisors (see below), whose sum is σ = 22888008000. Its totient is φ = 7581942144.

The previous prime is 13444466669. The next prime is 13444466723. The reversal of 13444466679 is 97666444431.

It is not a de Polignac number, because 13444466679 - 212 = 13444462583 is a prime.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13444466669) 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 71 ways as a sum of consecutive naturals, for example, 18698482 + ... + 18699200.

It is an arithmetic number, because the mean of its divisors is an integer number (317889000).

Almost surely, 213444466679 is an apocalyptic number.

13444466679 is a deficient number, since it is larger than the sum of its proper divisors (9443541321).

13444466679 is a wasteful number, since it uses less digits than its factorization.

13444466679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1227 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 13444466679 in words is "thirteen billion, four hundred forty-four million, four hundred sixty-six thousand, six hundred seventy-nine".

Divisors: 1 3 7 9 21 49 63 109 147 327 389 441 719 763 981 1167 2157 2289 2723 3501 5033 5341 6471 6867 8169 15099 16023 19061 24507 35231 42401 45297 48069 57183 78371 105693 127203 171549 235113 279691 296807 317079 381609 548597 705339 839073 890421 1645791 1957837 2077649 2517219 2671263 3840179 4937373 5873511 6232947 11520537 13704859 17620533 18698841 30486319 34561611 41114577 91458957 123343731 213404233 274376871 640212699 1493829631 1920638097 4481488893 13444466679