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20925775872 = 2173773
BaseRepresentation
bin10011011111010001…
…100000000000000000
32000000100112120000000
4103133101200000000
5320323444311442
613340240000000
71340363105631
oct233721400000
960010476000
1020925775872
118969067151
124080000000
131c86427701
141027231888
15827189d4c
hex4df460000

20925775872 has 288 divisors, whose sum is σ = 63627348960. Its totient is φ = 6879707136.

The previous prime is 20925775867. The next prime is 20925775873. The reversal of 20925775872 is 27857752902.

20925775872 is a `hidden beast` number, since 2 + 0 + 9 + 2 + 57 + 7 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20925775873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286654428 + ... + 286654500.

It is an arithmetic number, because the mean of its divisors is an integer number (220928295).

Almost surely, 220925775872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20925775872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31813674480).

20925775872 is an abundant number, since it is smaller than the sum of its proper divisors (42701573088).

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

20925775872 is an frugal number, since it uses more digits than its factorization.

20925775872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 20925775872 in words is "twenty billion, nine hundred twenty-five million, seven hundred seventy-five thousand, eight hundred seventy-two".