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13755817712 = 2471321374421
BaseRepresentation
bin11001100111110100…
…10001111011110000
31022111122222221110002
430303322101323300
5211132442131322
610152550525132
7664611343550
oct146372217360
938448887402
1013755817712
11591988949a
1227ba9667a8
1313b2b55510
14946cb3160
1555799cc92
hex333e91ef0

13755817712 has 80 divisors (see below), whose sum is σ = 32825107392. Its totient is φ = 5438085120.

The previous prime is 13755817711. The next prime is 13755817721. The reversal of 13755817712 is 21771855731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13755817711) 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 15 ways as a sum of consecutive naturals, for example, 3109262 + ... + 3113682.

Almost surely, 213755817712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13755817712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16412553696).

13755817712 is an abundant number, since it is smaller than the sum of its proper divisors (19069289680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13755817712 is a wasteful number, since it uses less digits than its factorization.

13755817712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6586 (or 6580 counting only the distinct ones).

The product of its digits is 411600, while the sum is 47.

The spelling of 13755817712 in words is "thirteen billion, seven hundred fifty-five million, eight hundred seventeen thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 2137 4274 4421 8548 8842 14959 17096 17684 27781 29918 30947 34192 35368 55562 57473 59836 61894 70736 111124 114946 119672 123788 194467 222248 229892 239344 247576 388934 402311 444496 459784 495152 777868 804622 919568 1555736 1609244 3111472 3218488 6436976 9447677 18895354 37790708 66133739 75581416 122819801 132267478 151162832 245639602 264534956 491279204 529069912 859738607 982558408 1058139824 1719477214 1965116816 3438954428 6877908856 13755817712