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12243769920 = 2633517312689
BaseRepresentation
bin10110110011100100…
…10001101001000000
31011121021210221211000
423121302101221000
5200033401114140
65342534252000
7612261220134
oct133162215100
934537727730
1012243769920
11521331a618
1224584b7000
131201805595
148421553c4
154b9d73a30
hex2d9c91a40

12243769920 has 448 divisors, whose sum is σ = 47226931200. Its totient is φ = 2972712960.

The previous prime is 12243769897. The next prime is 12243769949. The reversal of 12243769920 is 2996734221.

12243769920 is a `hidden beast` number, since 122 + 437 + 6 + 9 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4551936 + ... + 4554624.

Almost surely, 212243769920 is an apocalyptic number.

12243769920 is a gapful number since it is divisible by the number (10) 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 12243769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23613465600).

12243769920 is an abundant number, since it is smaller than the sum of its proper divisors (34983161280).

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

12243769920 is a wasteful number, since it uses less digits than its factorization.

12243769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 12243769920 in words is "twelve billion, two hundred forty-three million, seven hundred sixty-nine thousand, nine hundred twenty".