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12484492416 = 27361112163
BaseRepresentation
bin10111010000010001…
…00011110010000000
31012020001202221000000
423220020203302000
5201032012224131
65422454000000
7621243302034
oct135010436200
935201687000
1012484492416
115327196a30
122505046000
13123c64a226
148660d81c4
154d1073ce6
hex2e8223c80

12484492416 has 224 divisors, whose sum is σ = 40683471120. Its totient is φ = 3782868480.

The previous prime is 12484492411. The next prime is 12484492421. The reversal of 12484492416 is 61429448421.

It is an interprime number because it is at equal distance from previous prime (12484492411) and next prime (12484492421).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12484492411) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1020351 + ... + 1032513.

Almost surely, 212484492416 is an apocalyptic number.

12484492416 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 12484492416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20341735560).

12484492416 is an abundant number, since it is smaller than the sum of its proper divisors (28198978704).

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

12484492416 is an equidigital number, since it uses as much as digits as its factorization.

12484492416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12206 (or 12179 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 12484492416 in words is "twelve billion, four hundred eighty-four million, four hundred ninety-two thousand, four hundred sixteen".