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12073979286 = 2331927872
BaseRepresentation
bin10110011111010101…
…00100110110010110
31011011110022200212000
423033222210312112
5144211414314121
65314031140130
7605130062535
oct131752446626
934143280760
1012073979286
1151364a0386
12240b674646
1311a5597655
1482779831c
154a9ed5526
hex2cfaa4d96

12073979286 has 72 divisors (see below), whose sum is σ = 28353578040. Its totient is φ = 3807990792.

The previous prime is 12073979279. The next prime is 12073979287. The reversal of 12073979286 is 68297937021.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12073979287) 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 35 ways as a sum of consecutive naturals, for example, 15341385 + ... + 15342171.

It is an arithmetic number, because the mean of its divisors is an integer number (393799695).

Almost surely, 212073979286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12073979286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14176789020).

12073979286 is an abundant number, since it is smaller than the sum of its proper divisors (16279598754).

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

12073979286 is an frugal number, since it uses more digits than its factorization.

12073979286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

Multiplying 12073979286 by its sum of digits (54), we get a square (651994881444 = 8074622).

12073979286 divided by its sum of digits (54) gives a square (223592209 = 149532).

The spelling of 12073979286 in words is "twelve billion, seventy-three million, nine hundred seventy-nine thousand, two hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 361 513 722 787 1026 1083 1574 2166 2361 3249 4722 6498 7083 9747 14166 14953 19494 21249 29906 42498 44859 89718 134577 269154 284107 403731 568214 619369 807462 852321 1238738 1704642 1858107 2556963 3716214 5113926 5574321 7670889 11148642 11768011 15341778 16722963 23536022 33445926 35304033 70608066 105912099 211824198 223592209 317736297 447184418 635472594 670776627 1341553254 2012329881 4024659762 6036989643 12073979286