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12755726538256 = 24132686832
BaseRepresentation
bin1011100110011110110010…
…0011001001011000010000
31200011102202111212221211201
42321213230203021120100
53132442211443211011
643043522212320544
72454366536420422
oct271475443113020
950142674787751
1012755726538256
1140787450a9499
12152018b013154
13716b24129900
14321547d9a812
15171c14489cc1
hexb99ec8c9610

12755726538256 has 45 divisors (see below), whose sum is σ = 26761941660429. Its totient is φ = 5887172685888.

The previous prime is 12755726538239. The next prime is 12755726538307. The reversal of 12755726538256 is 65283562755721.

It is a happy number.

The square root of 12755726538256 is 3571516.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1886941795600 + 10868784742656 = 1373660^2 + 3296784^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 185684491 + ... + 185753173.

Almost surely, 212755726538256 is an apocalyptic number.

12755726538256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12755726538256 is the 3571516-th square number.

It is an amenable number.

12755726538256 is an abundant number, since it is smaller than the sum of its proper divisors (14006215122173).

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

12755726538256 is an frugal number, since it uses more digits than its factorization.

12755726538256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137400 (or 68698 counting only the distinct ones).

The product of its digits is 211680000, while the sum is 64.

Multiplying 12755726538256 by its sum of digits (64), we get a square (816366498448384 = 285721282).

The spelling of 12755726538256 in words is "twelve trillion, seven hundred fifty-five billion, seven hundred twenty-six million, five hundred thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 68683 137366 274732 549464 892879 1098928 1785758 3571516 7143032 11607427 14286064 23214854 46429708 92859416 185718832 4717354489 9434708978 18869417956 37738835912 61325608357 75477671824 122651216714 245302433428 490604866856 797232908641 981209733712 1594465817282 3188931634564 6377863269128 12755726538256