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20323668229920 = 253451141101173199
BaseRepresentation
bin1001001111011111110010…
…00001100111111100100000
32122221220221101100012010000
410213233321001213330200
510130440333031324140
6111120321515340000
74165223305415106
oct447577101477440
978856841305100
1020323668229920
116526245973830
122342a43451600
13b4568a769303
14503956915c76
152539ea34da30
hex127bf9067f20

20323668229920 has 1920 divisors, whose sum is σ = 81825208819200. Its totient is φ = 4707901440000.

The previous prime is 20323668229903. The next prime is 20323668229927. The reversal of 20323668229920 is 2992286632302.

20323668229920 is a `hidden beast` number, since 2 + 0 + 32 + 366 + 8 + 229 + 9 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20323668229927) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 102128985981 + ... + 102128986179.

It is an arithmetic number, because the mean of its divisors is an integer number (42617296260).

Almost surely, 220323668229920 is an apocalyptic number.

20323668229920 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 20323668229920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40912604409600).

20323668229920 is an abundant number, since it is smaller than the sum of its proper divisors (61501540589280).

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

20323668229920 is a wasteful number, since it uses less digits than its factorization.

20323668229920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 20323668229920 in words is "twenty trillion, three hundred twenty-three billion, six hundred sixty-eight million, two hundred twenty-nine thousand, nine hundred twenty".