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12357549441391 = 7311171634672531
BaseRepresentation
bin1011001111010011011101…
…0110000100000101101111
31121202100222212102122211211
42303310313112010011233
53104431230124111031
642140551351255251
72413542411064000
oct263646726040557
947670885378754
1012357549441391
113a34897554210
121476b8637a527
136b840936a29b
1430a173d531a7
151666acb20bb1
hexb3d3758416f

12357549441391 has 128 divisors (see below), whose sum is σ = 16790635929600. Its totient is φ = 8984393510400.

The previous prime is 12357549441389. The next prime is 12357549441439. The reversal of 12357549441391 is 19314494575321.

It is not a de Polignac number, because 12357549441391 - 21 = 12357549441389 is a prime.

It is a super-2 number, since 2×123575494413912 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12357549441191) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4882475796 + ... + 4882478326.

It is an arithmetic number, because the mean of its divisors is an integer number (131176843200).

Almost surely, 212357549441391 is an apocalyptic number.

12357549441391 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12357549441391 is a deficient number, since it is larger than the sum of its proper divisors (4433086488209).

12357549441391 is a wasteful number, since it uses less digits than its factorization.

12357549441391 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3196 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 58.

The spelling of 12357549441391 in words is "twelve trillion, three hundred fifty-seven billion, five hundred forty-nine million, four hundred forty-one thousand, three hundred ninety-one".

Divisors: 1 7 11 17 49 77 119 163 187 343 467 539 833 1141 1309 1793 2531 2771 3269 3773 5137 5831 7939 7987 9163 12551 17717 19397 22883 27841 30481 35959 43027 55573 55909 64141 76121 87329 87857 124019 135779 160181 194887 213367 251713 301189 389011 412553 473297 532847 611303 614999 837331 868133 950453 1181977 1294057 1364209 1493569 1761991 2108323 2723077 2887871 3313079 3729929 4279121 4538083 5861317 7013401 8273839 9058399 9549463 10454983 13001747 14234627 14758261 20093609 20215097 23191553 26109503 29953847 31766581 41029219 49093807 57916873 63408793 77147411 91012229 99642389 140655263 141505679 162340871 192662251 221029699 222366067 287204533 343656649 405418111 443861551 540031877 637085603 697496723 984586841 1348635757 1547207893 1556562469 2119284761 2405596543 3275258267 3780223139 4459599221 4882477061 6892107887 9440450299 10830455251 14834993327 22926807869 26461561973 36027840937 66083152093 75813186757 103844953289 160487655083 252194886559 726914673023 1123413585581 1765364205913 12357549441391