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20922498616320 = 21033573441251
BaseRepresentation
bin1001100000111011001100…
…00110010000110000000000
32202002011121220100201101000
410300131212012100300000
510220243234121210240
6112255355125012000
74256413006623000
oct460354606206000
982064556321330
1020922498616320
116737200025314
12241ab06554000
13b89ca1cb1162
145249236da000
15264397684430
hex130766190c00

20922498616320 has 704 divisors, whose sum is σ = 86711313024000. Its totient is φ = 4782274560000.

The previous prime is 20922498616301. The next prime is 20922498616333. The reversal of 20922498616320 is 2361689422902.

20922498616320 is a `hidden beast` number, since 2 + 0 + 9 + 224 + 9 + 86 + 16 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 47195695 + ... + 47636945.

Almost surely, 220922498616320 is an apocalyptic number.

20922498616320 is a gapful number since it is divisible by the number (20) 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 20922498616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43355656512000).

20922498616320 is an abundant number, since it is smaller than the sum of its proper divisors (65788814407680).

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

20922498616320 is an equidigital number, since it uses as much as digits as its factorization.

20922498616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441306 (or 441268 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 20922498616320 in words is "twenty trillion, nine hundred twenty-two billion, four hundred ninety-eight million, six hundred sixteen thousand, three hundred twenty".