Search a number
-
+
29484026208 = 25327131125001
BaseRepresentation
bin11011011101011000…
…101000100101100000
32211002210101201101200
4123131120220211200
5440340402314313
621313401001200
72062433042040
oct333530504540
984083351350
1029484026208
111155aa6730a
12586a183200
132a1b509370
1415d9ad5720
15b786a7b73
hex6dd628960

29484026208 has 144 divisors (see below), whose sum is σ = 103194183456. Its totient is φ = 7776000000.

The previous prime is 29484026203. The next prime is 29484026219. The reversal of 29484026208 is 80262048492.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29484026203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536293 + ... + 588708.

It is an arithmetic number, because the mean of its divisors is an integer number (716626274).

Almost surely, 229484026208 is an apocalyptic number.

29484026208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29484026208 is an abundant number, since it is smaller than the sum of its proper divisors (73710157248).

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

29484026208 is a wasteful number, since it uses less digits than its factorization.

29484026208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125037 (or 1125026 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 29484026208 in words is "twenty-nine billion, four hundred eighty-four million, twenty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 1125001 2250002 3375003 4500004 6750006 7875007 9000008 10125009 13500012 14625013 15750014 18000016 20250018 23625021 27000024 29250026 31500028 36000032 40500036 43875039 47250042 54000048 58500052 63000056 70875063 81000072 87750078 94500084 102375091 108000096 117000104 126000112 131625117 141750126 162000144 175500156 189000168 204750182 234000208 252000224 263250234 283500252 307125273 324000288 351000312 378000336 409500364 468000416 526500468 567000504 614250546 702000624 756000672 819000728 921375819 1053000936 1134001008 1228501092 1404001248 1638001456 1842751638 2106001872 2268002016 2457002184 3276002912 3685503276 4212003744 4914004368 7371006552 9828008736 14742013104 29484026208