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12424312992 = 25372131371483
BaseRepresentation
bin10111001001000101…
…11111100010100000
31012001212112111100110
423210202333202200
5200421111003432
65412504051320
7616612626600
oct134442774240
935055474313
1012424312992
1152a6223273
1224a8a63b40
1312300396c0
1485c110c00
154cab37dcc
hex2e48bf8a0

12424312992 has 288 divisors, whose sum is σ = 41182852032. Its totient is φ = 3250630656.

The previous prime is 12424312987. The next prime is 12424313051. The reversal of 12424312992 is 29921342421.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 12424312992.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8377083 + ... + 8378565.

It is an arithmetic number, because the mean of its divisors is an integer number (142996014).

Almost surely, 212424312992 is an apocalyptic number.

12424312992 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 12424312992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20591426016).

12424312992 is an abundant number, since it is smaller than the sum of its proper divisors (28758539040).

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

12424312992 is a wasteful number, since it uses less digits than its factorization.

12424312992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1645 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The spelling of 12424312992 in words is "twelve billion, four hundred twenty-four million, three hundred twelve thousand, nine hundred ninety-two".