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12266155728 = 243337376123
BaseRepresentation
bin10110110110001111…
…01010111011010000
31011122211221021101000
423123013222323100
5200110113440403
65345054142000
7612652413651
oct133307527320
934584837330
1012266155728
115224a1a392
122463ab1900
131206342918
14845101528
154bbce67a3
hex2db1eaed0

12266155728 has 80 divisors (see below), whose sum is σ = 35303266240. Its totient is φ = 4077703296.

The previous prime is 12266155721. The next prime is 12266155729. The reversal of 12266155728 is 82755166221.

12266155728 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 615 + 5 + 7 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12266155721) 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, 123075 + ... + 199197.

It is an arithmetic number, because the mean of its divisors is an integer number (441290828).

Almost surely, 212266155728 is an apocalyptic number.

12266155728 is a gapful number since it is divisible by the number (18) 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 12266155728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17651633120).

12266155728 is an abundant number, since it is smaller than the sum of its proper divisors (23037110512).

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

12266155728 is a wasteful number, since it uses less digits than its factorization.

12266155728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76513 (or 76501 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 12266155728 in words is "twelve billion, two hundred sixty-six million, one hundred fifty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 373 432 746 1119 1492 2238 2984 3357 4476 5968 6714 8952 10071 13428 17904 20142 26856 40284 53712 76123 80568 152246 161136 228369 304492 456738 608984 685107 913476 1217968 1370214 1826952 2055321 2740428 3653904 4110642 5480856 8221284 10961712 16442568 28393879 32885136 56787758 85181637 113575516 170363274 227151032 255544911 340726548 454302064 511089822 681453096 766634733 1022179644 1362906192 1533269466 2044359288 3066538932 4088718576 6133077864 12266155728