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29064924378 = 232721719102023
BaseRepresentation
bin11011000100011001…
…111000110011011010
32210000120210010202200
4123010121320303122
5434011110040003
621204030111030
72046153531600
oct330431706332
983016703680
1029064924378
1111365434966
12577194b476
13298273a409
14159a19b870
15b519be6a3
hex6c4678cda

29064924378 has 144 divisors (see below), whose sum is σ = 81647766720. Its totient is φ = 7404348672.

The previous prime is 29064924367. The next prime is 29064924401. The reversal of 29064924378 is 87342946092.

29064924378 is a `hidden beast` number, since 290 + 6 + 49 + 243 + 78 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 233875 + ... + 335897.

It is an arithmetic number, because the mean of its divisors is an integer number (566998380).

Almost surely, 229064924378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29064924378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40823883360).

29064924378 is an abundant number, since it is smaller than the sum of its proper divisors (52582842342).

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

29064924378 is a wasteful number, since it uses less digits than its factorization.

29064924378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102081 (or 102071 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 29064924378 in words is "twenty-nine billion, sixty-four million, nine hundred twenty-four thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 34 38 42 49 51 57 63 98 102 114 119 126 133 147 153 171 238 266 294 306 323 342 357 399 441 646 714 798 833 882 931 969 1071 1197 1666 1862 1938 2142 2261 2394 2499 2793 2907 4522 4998 5586 5814 6783 7497 8379 13566 14994 15827 16758 20349 31654 40698 47481 94962 102023 142443 204046 284886 306069 612138 714161 918207 1428322 1734391 1836414 1938437 2142483 3468782 3876874 4284966 4999127 5203173 5815311 6427449 9998254 10406346 11630622 12140737 12854898 13569059 14997381 15609519 17445933 24281474 27138118 29994762 31219038 32953429 34891866 36422211 40707177 44992143 65906858 72844422 81414354 84985159 89984286 94983413 98860287 109266633 122121531 169970318 189966826 197720574 218533266 230674003 244243062 254955477 284950239 296580861 461348006 509910954 569900478 593161722 692022009 764866431 854850717 1384044018 1529732862 1614718021 1709701434 2076066027 3229436042 4152132054 4844154063 9688308126 14532462189 29064924378