Search a number
-
+
84024222820296 = 233111092919941021
BaseRepresentation
bin10011000110101101101001…
…111101000010011111001000
3102000111122012120001111020120
4103012231221331002133020
542003123102020222141
6454412110045423240
723461356366525003
oct2306555175023710
9360448176044216
1084024222820296
1124855522303160
12951055a26ab20
1337b65b11712c5
1416a6b18d7253a
159aa9e224ac66
hex4c6b69f427c8

84024222820296 has 64 divisors (see below), whose sum is σ = 231259328942400. Its totient is φ = 25228290412800.

The previous prime is 84024222820261. The next prime is 84024222820297. The reversal of 84024222820296 is 69202822242048.

It is a happy number.

84024222820296 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (84024222820297) 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, 1459941735 + ... + 1459999286.

It is an arithmetic number, because the mean of its divisors is an integer number (3613427014725).

Almost surely, 284024222820296 is an apocalyptic number.

It is an amenable number.

84024222820296 is an abundant number, since it is smaller than the sum of its proper divisors (147235106122104).

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

84024222820296 is a wasteful number, since it uses less digits than its factorization.

84024222820296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919941150 (or 2919941146 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 51.

The spelling of 84024222820296 in words is "eighty-four trillion, twenty-four billion, two hundred twenty-two million, eight hundred twenty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 109 132 218 264 327 436 654 872 1199 1308 2398 2616 3597 4796 7194 9592 14388 28776 2919941021 5839882042 8759823063 11679764084 17519646126 23359528168 32119351231 35039292252 64238702462 70078584504 96358053693 128477404924 192716107386 256954809848 318273571289 385432214772 636547142578 770864429544 954820713867 1273094285156 1909641427734 2546188570312 3501009284179 3819282855468 7002018568358 7638565710936 10503027852537 14004037136716 21006055705074 28008074273432 42012111410148 84024222820296