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20050615728 = 2432112131741127
BaseRepresentation
bin10010101011000111…
…000001110110110000
31220202100202210222100
4102223013001312300
5312030424200403
613113334140400
71306605264423
oct225307016660
956670683870
1020050615728
11855a060400
123a76ab1700
131b7701a380
14d82cdd9ba
157c54182a3
hex4ab1c1db0

20050615728 has 720 divisors, whose sum is σ = 72613352448. Its totient is φ = 5109350400.

The previous prime is 20050615709. The next prime is 20050615733. The reversal of 20050615728 is 82751605002.

It is a happy number.

20050615728 is a `hidden beast` number, since 20 + 0 + 5 + 0 + 61 + 572 + 8 = 666.

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 = 20050615692 and 20050615701.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 157878801 + ... + 157878927.

Almost surely, 220050615728 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 20050615728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36306676224).

20050615728 is an abundant number, since it is smaller than the sum of its proper divisors (52562736720).

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

20050615728 is a wasteful number, since it uses less digits than its factorization.

20050615728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 20050615728 in words is "twenty billion, fifty million, six hundred fifteen thousand, seven hundred twenty-eight".