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20806455852 = 223372131671811
BaseRepresentation
bin10011011000001010…
…010101001000101100
31222201001000110201000
4103120022111020230
5320102423041402
613320334320300
71334413646100
oct233012251054
958631013630
1020806455852
11890777a266
124048059090
131c677ab150
141015451900
1581b96ac1c
hex4d829522c

20806455852 has 288 divisors, whose sum is σ = 68018711040. Its totient is φ = 5451546240.

The previous prime is 20806455827. The next prime is 20806455869. The reversal of 20806455852 is 25855460802.

It is a happy number.

20806455852 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 64 + 5 + 585 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20806455798 and 20806455807.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11488027 + ... + 11489837.

It is an arithmetic number, because the mean of its divisors is an integer number (236176080).

Almost surely, 220806455852 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 20806455852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34009355520).

20806455852 is an abundant number, since it is smaller than the sum of its proper divisors (47212255188).

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

20806455852 is a wasteful number, since it uses less digits than its factorization.

20806455852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 20806455852 in words is "twenty billion, eight hundred six million, four hundred fifty-five thousand, eight hundred fifty-two".