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12282773376 = 273313779353
BaseRepresentation
bin10110111000001110…
…00011111110000000
31011201000012112111110
423130013003332000
5200123342222001
65350450243320
7613243564626
oct133407037600
934630175443
1012282773376
11523333a485
122469586540
131209910653
148473c9516
154bd4ca3d6
hex2dc1c3f80

12282773376 has 256 divisors, whose sum is σ = 35125862400. Its totient is φ = 3795517440.

The previous prime is 12282773369. The next prime is 12282773389. The reversal of 12282773376 is 67337728221.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34795216 + ... + 34795568.

It is an arithmetic number, because the mean of its divisors is an integer number (137210400).

Almost surely, 212282773376 is an apocalyptic number.

12282773376 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 12282773376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17562931200).

12282773376 is an abundant number, since it is smaller than the sum of its proper divisors (22843089024).

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

12282773376 is a wasteful number, since it uses less digits than its factorization.

12282773376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 505 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 48.

The spelling of 12282773376 in words is "twelve billion, two hundred eighty-two million, seven hundred seventy-three thousand, three hundred seventy-six".