Search a number
-
+
2096741648 = 241718142589
BaseRepresentation
bin111110011111001…
…1011110100010000
312102010101111211002
41330332123310100
513243231213043
6544020241132
7102650003261
oct17476336420
95363344732
102096741648
11986613041
124a62401a8
13275519a41
1415c67c968
15c4121bb8
hex7cf9bd10

2096741648 has 40 divisors (see below), whose sum is σ = 4325270040. Its totient is φ = 981227520.

The previous prime is 2096741627. The next prime is 2096741653. The reversal of 2096741648 is 8461476902.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 2096540944 = 448^2 + 45788^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27938 + ... + 70526.

It is an arithmetic number, because the mean of its divisors is an integer number (108131751).

Almost surely, 22096741648 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 2096741648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162635020).

2096741648 is an abundant number, since it is smaller than the sum of its proper divisors (2228528392).

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

2096741648 is a wasteful number, since it uses less digits than its factorization.

2096741648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42795 (or 42789 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The square root of 2096741648 is about 45790.1916134886. The cubic root of 2096741648 is about 1279.9165082260.

The spelling of 2096741648 in words is "two billion, ninety-six million, seven hundred forty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 181 272 362 724 1448 2896 3077 6154 12308 24616 42589 49232 85178 170356 340712 681424 724013 1448026 2896052 5792104 7708609 11584208 15417218 30834436 61668872 123337744 131046353 262092706 524185412 1048370824 2096741648