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20408273028 = 223411132311093
BaseRepresentation
bin10011000000011011…
…011000100010000100
31221200021202200120000
4103000123120202010
5313244004214103
613213032041300
71321510313163
oct230033304204
957607680500
1020408273028
118722a35650
123b56833230
131c03154a00
14db86013da
157e6a15aa3
hex4c06d8884

20408273028 has 360 divisors, whose sum is σ = 65115300096. Its totient is φ = 5519404800.

The previous prime is 20408272967. The next prime is 20408273029. The reversal of 20408273028 is 82037280402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20408272983 and 20408273001.

It is not an unprimeable number, because it can be changed into a prime (20408273029) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18671250 + ... + 18672342.

Almost surely, 220408273028 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 20408273028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32557650048).

20408273028 is an abundant number, since it is smaller than the sum of its proper divisors (44707027068).

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

20408273028 is a wasteful number, since it uses less digits than its factorization.

20408273028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 20408273028 in words is "twenty billion, four hundred eight million, two hundred seventy-three thousand, twenty-eight".