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12053318076 = 2231051031
BaseRepresentation
bin10110011100110111…
…10000100110111100
31011010000110000000000
423032123300212330
5144141122134301
65312012234300
7604456341012
oct131633604674
934100400000
1012053318076
1151258692a8
12240476b990
1311a1212297
14824b3a8b2
154a82a3786
hex2ce6f09bc

12053318076 has 66 divisors (see below), whose sum is σ = 31640401352. Its totient is φ = 4017693960.

The previous prime is 12053318071. The next prime is 12053318161. The reversal of 12053318076 is 67081335021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12053318076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12053318071) 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 21 ways as a sum of consecutive naturals, for example, 210681 + ... + 261711.

Almost surely, 212053318076 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 12053318076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15820200676).

12053318076 is an abundant number, since it is smaller than the sum of its proper divisors (19587083276).

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

12053318076 is an frugal number, since it uses more digits than its factorization.

12053318076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51065 (or 51036 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12053318076 in words is "twelve billion, fifty-three million, three hundred eighteen thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 13122 19683 26244 39366 51031 59049 78732 102062 118098 153093 204124 236196 306186 459279 612372 918558 1377837 1837116 2755674 4133511 5511348 8267022 12400533 16534044 24801066 37201599 49602132 74403198 111604797 148806396 223209594 334814391 446419188 669628782 1004443173 1339257564 2008886346 3013329519 4017772692 6026659038 12053318076