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12924423832320 = 2833572111319532
BaseRepresentation
bin1011110000010011001110…
…1100010000001100000000
31200202120012022121102101000
42330010303230100030000
53143223210000113240
643253222013012000
72502521161645200
oct274046354201400
950676168542330
1012924423832320
114133243350390
121548a0b484000
137299ca20c180
1432978ca0a400
151762d975d430
hexbc133b10300

12924423832320 has 5184 divisors, whose sum is σ = 67246180646400. Its totient is φ = 2304224133120.

The previous prime is 12924423832319. The next prime is 12924423832403. The reversal of 12924423832320 is 2323832442921.

12924423832320 is a `hidden beast` number, since 1 + 2 + 9 + 244 + 2 + 3 + 83 + 2 + 320 = 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 575 ways as a sum of consecutive naturals, for example, 243857053414 + ... + 243857053466.

Almost surely, 212924423832320 is an apocalyptic number.

12924423832320 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 12924423832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33623090323200).

12924423832320 is an abundant number, since it is smaller than the sum of its proper divisors (54321756814080).

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

12924423832320 is a wasteful number, since it uses less digits than its factorization.

12924423832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 12924423832320 in words is "twelve trillion, nine hundred twenty-four billion, four hundred twenty-three million, eight hundred thirty-two thousand, three hundred twenty".