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20863121190912 = 21233721113219109
BaseRepresentation
bin1001011111001100100101…
…11011010111000000000000
32201212111100210020222102000
410233212102323113000000
510213310133011102122
6112212215140424000
74252211410055400
oct457462273270000
981774323228360
1020863121190912
116714000014810
12240b4b50a8000
13b844cb524b00
14521acd7c8800
15262a6e90d0ac
hex12f992ed7000

20863121190912 has 3744 divisors, whose sum is σ = 90224978976000. Its totient is φ = 4695400120320.

The previous prime is 20863121190887. The next prime is 20863121190941. The reversal of 20863121190912 is 21909112136802.

20863121190912 is a `hidden beast` number, since 2 + 0 + 8 + 631 + 2 + 1 + 1 + 9 + 0 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 191404781514 + ... + 191404781622.

Almost surely, 220863121190912 is an apocalyptic number.

20863121190912 is a gapful number since it is divisible by the number (22) 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 20863121190912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45112489488000).

20863121190912 is an abundant number, since it is smaller than the sum of its proper divisors (69361857785088).

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

20863121190912 is a wasteful number, since it uses less digits than its factorization.

20863121190912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 20863121190912 in words is "twenty trillion, eight hundred sixty-three billion, one hundred twenty-one million, one hundred ninety thousand, nine hundred twelve".