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94930674916 = 227111723134403
BaseRepresentation
bin101100001101001001…
…1110010010011100100
3100002000212210221112211
41120122103302103210
53023404223044131
6111335513453204
76600320265040
oct1303223622344
9302025727484
1094930674916
1137294989140
1216494111204
138c4b4ba5bc
144847ab5020
15270918c5b1
hex161a4f24e4

94930674916 has 144 divisors (see below), whose sum is σ = 227125850112. Its totient is φ = 33686438400.

The previous prime is 94930674911. The next prime is 94930674941. The reversal of 94930674916 is 61947603949.

94930674916 is digitally balanced in base 3, 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 (94930674911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2742171 + ... + 2776573.

It is an arithmetic number, because the mean of its divisors is an integer number (1577262848).

Almost surely, 294930674916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94930674916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113562925056).

94930674916 is an abundant number, since it is smaller than the sum of its proper divisors (132195175196).

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

94930674916 is a wasteful number, since it uses less digits than its factorization.

94930674916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34490 (or 34471 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 58.

The spelling of 94930674916 in words is "ninety-four billion, nine hundred thirty million, six hundred seventy-four thousand, nine hundred sixteen".

Divisors: 1 2 4 7 11 14 17 22 28 31 34 44 62 68 77 119 124 154 187 217 238 289 308 341 374 434 476 527 578 682 748 868 1054 1156 1309 1364 2023 2108 2387 2618 3179 3689 4046 4774 5236 5797 6358 7378 8092 8959 9548 11594 12716 14756 17918 22253 23188 34403 35836 40579 44506 62713 68806 81158 89012 98549 125426 137612 162316 197098 240821 250852 378433 394196 481642 584851 689843 756866 963284 1066493 1169702 1379686 1513732 2132986 2339404 2649031 2759372 4093957 4265972 5298062 6433361 7465451 8187914 9942467 10596124 11731423 12866722 14930902 16375828 18130381 19884934 23462846 25733444 29861804 36260762 39769868 45033527 46925692 69597269 72521524 82119961 90067054 109367137 126912667 139194538 164239922 180134108 199434191 218734274 253825334 278389076 308216477 328479844 398868382 437468548 507650668 616432954 765569959 797736764 1232865908 1396039337 1531139918 2157515339 2792078674 3062279836 3390381247 4315030678 5584157348 6780762494 8630061356 13561524988 23732668729 47465337458 94930674916