Search a number
-
+
2048067711 = 324153104723
BaseRepresentation
bin111101000010011…
…0000100001111111
312021201210121201200
41322010300201333
513143301131321
6535121110543
7101516200614
oct17204604177
95251717650
102048067711
11961098648
12491a88453
132684070b1
1415600c50b
15bec09d26
hex7a13087f

2048067711 has 24 divisors (see below), whose sum is σ = 3087682416. Its totient is φ = 1306930560.

The previous prime is 2048067689. The next prime is 2048067713. The reversal of 2048067711 is 1177608402.

It is not a de Polignac number, because 2048067711 - 215 = 2048034943 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048067713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32805 + ... + 71918.

It is an arithmetic number, because the mean of its divisors is an integer number (128653434).

Almost surely, 22048067711 is an apocalyptic number.

2048067711 is a deficient number, since it is larger than the sum of its proper divisors (1039614705).

2048067711 is a wasteful number, since it uses less digits than its factorization.

2048067711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104823 (or 104820 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 2048067711 is about 45255.5820976816. The cubic root of 2048067711 is about 1269.9348367996.

The spelling of 2048067711 in words is "two billion, forty-eight million, sixty-seven thousand, seven hundred eleven".

Divisors: 1 3 9 41 53 123 159 369 477 2173 6519 19557 104723 314169 942507 4293643 5550319 12880929 16650957 38642787 49952871 227563079 682689237 2048067711