Search a number
-
+
29853418074186 = 23710211704140853
BaseRepresentation
bin1101100100110110010100…
…11000010011000001001010
310220200221220000221101220210
412302123022120103001022
512403104300011333221
6143254245415501550
76200560346520630
oct662331230230112
9126627800841823
1029853418074186
11956a844253703
1234219613878b6
13138721c0735c5
14752cad94d350
1536b851322276
hex1b26ca61304a

29853418074186 has 64 divisors (see below), whose sum is σ = 68308897257216. Its totient is φ = 8520485299200.

The previous prime is 29853418074113. The next prime is 29853418074257. The reversal of 29853418074186 is 68147081435892.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730731736 + ... + 730772588.

It is an arithmetic number, because the mean of its divisors is an integer number (1067326519644).

It is a 2-persistent number, because it is pandigital, and so is 2⋅29853418074186 = 59706836148372, but 3⋅29853418074186 = 89560254222558 is not.

Almost surely, 229853418074186 is an apocalyptic number.

29853418074186 is an abundant number, since it is smaller than the sum of its proper divisors (38455479183030).

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

29853418074186 is a wasteful number, since it uses less digits than its factorization.

29853418074186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58927.

The product of its (nonzero) digits is 92897280, while the sum is 66.

The spelling of 29853418074186 in words is "twenty-nine trillion, eight hundred fifty-three billion, four hundred eighteen million, seventy-four thousand, one hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 42 1021 2042 3063 6126 7147 14294 17041 21441 34082 40853 42882 51123 81706 102246 119287 122559 238574 245118 285971 357861 571942 715722 857913 1715826 17398861 34797722 41710913 52196583 83421826 104393166 121792027 125132739 243584054 250265478 291976391 365376081 583952782 696175973 730752162 875929173 1392351946 1751858346 2088527919 4177055838 4873231811 9746463622 14619695433 29239390866 710795668433 1421591336866 2132387005299 4264774010598 4975569679031 9951139358062 14926709037093 29853418074186