Search a number
-
+
20109737984 = 2147237677
BaseRepresentation
bin10010101110101000…
…100100000000000000
31220220111000112110112
4102232220210000000
5312141043103414
613123245250452
71311223644500
oct225650440000
956814015415
1020109737984
11858a471876
123a92863a28
131b8634a95b
14d8aacda00
157ca6e5d3e
hex4aea24000

20109737984 has 180 divisors, whose sum is σ = 48119912316. Its totient is φ = 8373141504.

The previous prime is 20109737969. The next prime is 20109737987. The reversal of 20109737984 is 48973790102.

It can be written as a sum of positive squares in 2 ways, for example, as 19287654400 + 822083584 = 138880^2 + 28672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20109737987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29703854 + ... + 29704530.

Almost surely, 220109737984 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 20109737984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24059956158).

20109737984 is an abundant number, since it is smaller than the sum of its proper divisors (28010174332).

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

20109737984 is an frugal number, since it uses more digits than its factorization.

20109737984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 50.

The spelling of 20109737984 in words is "twenty billion, one hundred nine million, seven hundred thirty-seven thousand, nine hundred eighty-four".