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12064652016 = 24311318112289
BaseRepresentation
bin10110011110001101…
…11111101011110000
31011010210202211020120
423033012333223300
5144202022331031
65313055210240
7604654564404
oct131706775360
934123684216
1012064652016
1151311aa69a
122408516980
1311a3680061
1482644b104
154a9291a96
hex2cf1bfaf0

12064652016 has 80 divisors (see below), whose sum is σ = 31619122080. Its totient is φ = 3963617280.

The previous prime is 12064651967. The next prime is 12064652063. The reversal of 12064652016 is 61025646021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975600 + ... + 987888.

It is an arithmetic number, because the mean of its divisors is an integer number (395239026).

Almost surely, 212064652016 is an apocalyptic number.

12064652016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12064652016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15809561040).

12064652016 is an abundant number, since it is smaller than the sum of its proper divisors (19554470064).

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

12064652016 is a wasteful number, since it uses less digits than its factorization.

12064652016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12594 (or 12588 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 12064652016 in words is "twelve billion, sixty-four million, six hundred fifty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 181 226 339 362 452 543 678 724 904 1086 1356 1448 1808 2172 2712 2896 4344 5424 8688 12289 20453 24578 36867 40906 49156 61359 73734 81812 98312 122718 147468 163624 196624 245436 294936 327248 490872 589872 981744 1388657 2224309 2777314 4165971 4448618 5554628 6672927 8331942 8897236 11109256 13345854 16663884 17794472 22218512 26691708 33327768 35588944 53383416 66655536 106766832 251346917 502693834 754040751 1005387668 1508081502 2010775336 3016163004 4021550672 6032326008 12064652016