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931923013923 = 321117281140163
BaseRepresentation
bin11011000111110101111…
…00001011000100100011
310022002110022120012210100
431203322330023010203
5110232034242421143
61552041452233443
7124220630626656
oct15437274130443
93262408505710
10931923013923
1132a254278730
1213074316b883
1369b59381c65
1433168da989d
1519394dac6d3
hexd8faf0b123

931923013923 has 72 divisors (see below), whose sum is σ = 1561909841856. Its totient is φ = 530909510400.

The previous prime is 931923013891. The next prime is 931923013927. The reversal of 931923013923 is 329310329139.

931923013923 is a `hidden beast` number, since 9 + 319 + 2 + 301 + 3 + 9 + 23 = 666.

It is not a de Polignac number, because 931923013923 - 25 = 931923013891 is a prime.

It is not an unprimeable number, because it can be changed into a prime (931923013927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23183440 + ... + 23223602.

It is an arithmetic number, because the mean of its divisors is an integer number (21693192248).

Almost surely, 2931923013923 is an apocalyptic number.

931923013923 is a deficient number, since it is larger than the sum of its proper divisors (629986827933).

931923013923 is a wasteful number, since it uses less digits than its factorization.

931923013923 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41025 (or 41005 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The spelling of 931923013923 in words is "nine hundred thirty-one billion, nine hundred twenty-three million, thirteen thousand, nine hundred twenty-three".

Divisors: 1 3 9 11 17 33 51 99 153 187 289 561 811 867 1683 2433 2601 3179 7299 8921 9537 13787 26763 28611 40163 41361 80289 120489 124083 151657 234379 361467 441793 454971 682771 703137 1325379 1364913 2048313 2109411 2578169 3976137 6144939 7510481 7734507 11607107 22531443 23203521 32572193 34821321 67594329 97716579 104463963 127678177 293149737 358294123 383034531 553727281 1074882369 1149103593 1661181843 3224647107 4983545529 6091000091 9413363777 18273000273 28240091331 54819000819 84720273993 103547001547 310641004641 931923013923