Search a number
-
+
82072003353376 = 2522933433350219
BaseRepresentation
bin10010101010010011100000…
…100110110001101100100000
3101202121000012000201012122211
4102222103200212301230200
541224131430324302001
6450315205143211504
723200335516044431
oct2252234046615440
9352530160635584
1082072003353376
11241725a530a043
12925612ba46b94
1336a44838c071a
14163a440149488
15974d33d4d351
hex4aa4e09b1b20

82072003353376 has 48 divisors (see below), whose sum is σ = 162333436003200. Its totient is φ = 40844571372288.

The previous prime is 82072003353367. The next prime is 82072003353383. The reversal of 82072003353376 is 67335330027028.

82072003353376 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×820720033533762 (a number of 29 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 22822395 + ... + 26172613.

It is an arithmetic number, because the mean of its divisors is an integer number (3381946583400).

Almost surely, 282072003353376 is an apocalyptic number.

It is an amenable number.

82072003353376 is a deficient number, since it is larger than the sum of its proper divisors (80261432649824).

82072003353376 is a wasteful number, since it uses less digits than its factorization.

82072003353376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353801 (or 3353793 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 49.

The spelling of 82072003353376 in words is "eighty-two trillion, seventy-two billion, three million, three hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 229 458 916 1832 3343 3664 6686 7328 13372 26744 53488 106976 765547 1531094 3062188 3350219 6124376 6700438 12248752 13400876 24497504 26801752 53603504 107207008 767200151 1534400302 3068800604 6137601208 11199782117 12275202416 22399564234 24550404832 44799128468 89598256936 179196513872 358393027744 2564750104793 5129500209586 10259000419172 20518000838344 41036001676688 82072003353376