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12065433328 = 24131912691129
BaseRepresentation
bin10110011110010011…
…11110011011110000
31011010212020112000001
423033021332123300
5144202222331303
65313124035344
7604664330314
oct131711763360
934125215001
1012065433328
115131693703
122408832b54
1311a3894880
148265b1b44
154a939831d
hex2cf27e6f0

12065433328 has 80 divisors (see below), whose sum is σ = 25423372800. Its totient is φ = 5514024960.

The previous prime is 12065433299. The next prime is 12065433343. The reversal of 12065433328 is 82333456021.

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, 10686268 + ... + 10687396.

It is an arithmetic number, because the mean of its divisors is an integer number (317792160).

Almost surely, 212065433328 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 12065433328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12711686400).

12065433328 is an abundant number, since it is smaller than the sum of its proper divisors (13357939472).

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

12065433328 is a wasteful number, since it uses less digits than its factorization.

12065433328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 12065433328 its reverse (82333456021), we get a palindrome (94398889349).

The spelling of 12065433328 in words is "twelve billion, sixty-five million, four hundred thirty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 191 208 269 382 538 764 1076 1129 1528 2152 2258 2483 3056 3497 4304 4516 4966 6994 9032 9932 13988 14677 18064 19864 27976 29354 39728 51379 55952 58708 102758 117416 205516 215639 234832 303701 411032 431278 607402 667927 822064 862556 1214804 1335854 1725112 2429608 2671708 2803307 3450224 3948113 4859216 5343416 5606614 7896226 10686832 11213228 15792452 22426456 31584904 44852912 58006891 63169808 116013782 232027564 464055128 754089583 928110256 1508179166 3016358332 6032716664 12065433328