Search a number
-
+
8192423505 = 357174589593
BaseRepresentation
bin1111010000100111…
…00111011001010001
3210010221111020022210
413220103213121101
5113234230023010
63432532022333
7410005310430
oct75023473121
923127436283
108192423505
113524456042
1217077619a9
13a07376996
1457a077117
1532e359b20
hex1e84e7651

8192423505 has 32 divisors (see below), whose sum is σ = 15861636864. Its totient is φ = 3524806656.

The previous prime is 8192423497. The next prime is 8192423509. The reversal of 8192423505 is 5053242918.

8192423505 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8192423505 - 23 = 8192423497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8192423509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2293012 + ... + 2296581.

It is an arithmetic number, because the mean of its divisors is an integer number (495676152).

Almost surely, 28192423505 is an apocalyptic number.

8192423505 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8192423505 is a deficient number, since it is larger than the sum of its proper divisors (7669213359).

8192423505 is a wasteful number, since it uses less digits than its factorization.

8192423505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4589625.

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 8192423505 is about 90512.0075183398. The cubic root of 8192423505 is about 2015.9084177009.

The spelling of 8192423505 in words is "eight billion, one hundred ninety-two million, four hundred twenty-three thousand, five hundred five".

Divisors: 1 3 5 7 15 17 21 35 51 85 105 119 255 357 595 1785 4589593 13768779 22947965 32127151 68843895 78023081 96381453 160635755 234069243 390115405 481907265 546161567 1170346215 1638484701 2730807835 8192423505