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20375338752 = 283429311093
BaseRepresentation
bin10010111110011101…
…101111111100000000
31221120222210110020000
4102332131233330000
5313212041320002
613205454120000
71320630343656
oct227635577400
957528713200
1020375338752
11870639063a
123b477b0000
131bc9393282
14db40aadd6
157e3bac61c
hex4be76ff00

20375338752 has 360 divisors, whose sum is σ = 64937389440. Its totient is φ = 6340239360.

The previous prime is 20375338751. The next prime is 20375338787. The reversal of 20375338752 is 25783357302.

20375338752 is a `hidden beast` number, since 2 + 0 + 37 + 533 + 87 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20375338698 and 20375338707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20375338751) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18641118 + ... + 18642210.

Almost surely, 220375338752 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 20375338752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32468694720).

20375338752 is an abundant number, since it is smaller than the sum of its proper divisors (44562050688).

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

20375338752 is a wasteful number, since it uses less digits than its factorization.

20375338752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 20375338752 in words is "twenty billion, three hundred seventy-five million, three hundred thirty-eight thousand, seven hundred fifty-two".