Search a number
-
+
814249913393 = 7177549906403
BaseRepresentation
bin10111101100101010001…
…00111010110000110001
32212211201110212100021202
423312111010322300301
5101320040434212033
61422021121300545
7112553605032020
oct13662504726061
92784643770252
10814249913393
11294359937624
12111982794755
135ba2529a6a7
142b5a4ad48b7
15162a933d8e8
hexbd9513ac31

814249913393 has 16 divisors (see below), whose sum is σ = 985442428800. Its totient is φ = 656786140416.

The previous prime is 814249913387. The next prime is 814249913447. The reversal of 814249913393 is 393319942418.

814249913393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 814249913393 - 24 = 814249913377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (814249913363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445130 + ... + 1351532.

It is an arithmetic number, because the mean of its divisors is an integer number (61590151800).

Almost surely, 2814249913393 is an apocalyptic number.

It is an amenable number.

814249913393 is a deficient number, since it is larger than the sum of its proper divisors (171192515407).

814249913393 is a wasteful number, since it uses less digits than its factorization.

814249913393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913976.

The product of its digits is 5038848, while the sum is 56.

The spelling of 814249913393 in words is "eight hundred fourteen billion, two hundred forty-nine million, nine hundred thirteen thousand, three hundred ninety-three".

Divisors: 1 7 17 119 7549 52843 128333 898331 906403 6344821 15408851 107861957 6842436247 47897053729 116321416199 814249913393