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20669239584 = 2533723115749
BaseRepresentation
bin10011001111111110…
…111001000100100000
31222100110211011101000
4103033332321010200
5314312311131314
613254553312000
71331126431500
oct231776710440
958313734330
1020669239584
118847279694
12400a105600
131c45236ba6
141001133a00
1580e8b4209
hex4cffb9120

20669239584 has 288 divisors, whose sum is σ = 72394560000. Its totient is φ = 5714634240.

The previous prime is 20669239543. The next prime is 20669239597. The reversal of 20669239584 is 48593296602.

It is a happy number.

20669239584 is a `hidden beast` number, since 20 + 6 + 6 + 9 + 2 + 39 + 584 = 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 self number, because there is not a number n which added to its sum of digits gives 20669239584.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1304542 + ... + 1320290.

It is an arithmetic number, because the mean of its divisors is an integer number (251370000).

Almost surely, 220669239584 is an apocalyptic number.

20669239584 is a gapful number since it is divisible by the number (24) 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 20669239584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36197280000).

20669239584 is an abundant number, since it is smaller than the sum of its proper divisors (51725320416).

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

20669239584 is a wasteful number, since it uses less digits than its factorization.

20669239584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15813 (or 15792 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 20669239584 in words is "twenty billion, six hundred sixty-nine million, two hundred thirty-nine thousand, five hundred eighty-four".