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12484822272 = 283132432237
BaseRepresentation
bin10111010000010011…
…10100010100000000
31012020002101200110220
423220021310110000
5201032103303042
65422505023040
7621246144516
oct135011642400
935202350426
1012484822272
1153273a183a
122505184a80
13123c734400
148661824b6
154d10db8ec
hex2e8274500

12484822272 has 216 divisors, whose sum is σ = 36833648544. Its totient is φ = 3750469632.

The previous prime is 12484822261. The next prime is 12484822279. The reversal of 12484822272 is 27222848421.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12484822279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5579938 + ... + 5582174.

Almost surely, 212484822272 is an apocalyptic number.

12484822272 is a gapful number since it is divisible by the number (12) 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 12484822272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416824272).

12484822272 is an abundant number, since it is smaller than the sum of its proper divisors (24348826272).

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

12484822272 is a wasteful number, since it uses less digits than its factorization.

12484822272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2298 counting only the distinct ones).

The product of its digits is 229376, while the sum is 42.

The spelling of 12484822272 in words is "twelve billion, four hundred eighty-four million, eight hundred twenty-two thousand, two hundred seventy-two".