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13666054728 = 2334117380279
BaseRepresentation
bin11001011101000111…
…10111001001001000
31022021102002111210010
430232203313021020
5210442002222403
610140022551520
7662441356104
oct145643671110
938242074703
1013666054728
11588314a207
1227948985a0
13139a387421
14938dc8904
1554eb6b603
hex32e8f7248

13666054728 has 64 divisors (see below), whose sum is σ = 35201174400. Its totient is φ = 4418501120.

The previous prime is 13666054679. The next prime is 13666054751. The reversal of 13666054728 is 82745066631.

13666054728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×136660547282 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130093 + ... + 210371.

It is an arithmetic number, because the mean of its divisors is an integer number (550018350).

Almost surely, 213666054728 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 13666054728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17600587200).

13666054728 is an abundant number, since it is smaller than the sum of its proper divisors (21535119672).

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

13666054728 is a wasteful number, since it uses less digits than its factorization.

13666054728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80502 (or 80498 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 13666054728 in words is "thirteen billion, six hundred sixty-six million, fifty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 173 246 328 346 492 519 692 984 1038 1384 2076 4152 7093 14186 21279 28372 42558 56744 80279 85116 160558 170232 240837 321116 481674 642232 963348 1926696 3291439 6582878 9874317 13165756 13888267 19748634 26331512 27776534 39497268 41664801 55553068 78994536 83329602 111106136 166659204 333318408 569418947 1138837894 1708256841 2277675788 3416513682 4555351576 6833027364 13666054728