Search a number
-
+
17308845640064 = 271117723130249
BaseRepresentation
bin1111101111100000011110…
…0110001000100110000000
32021021201011012202022221102
43323320013212020212000
54232042003440440224
6100451323544313532
73434344221262226
oct373700746104600
967251135668842
1017308845640064
1155737051399a0
121b366a14728a8
139872a90984a4
1443ba771bab16
1520039968b4ae
hexfbe07988980

17308845640064 has 64 divisors (see below), whose sum is σ = 39830014170000. Its totient is φ = 7404853739520.

The previous prime is 17308845640057. The next prime is 17308845640087. The reversal of 17308845640064 is 46004654880371.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×173088456400642 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 17308845639991 and 17308845640009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361541189 + ... + 361589060.

Almost surely, 217308845640064 is an apocalyptic number.

It is an amenable number.

17308845640064 is an abundant number, since it is smaller than the sum of its proper divisors (22521168529936).

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

17308845640064 is a wasteful number, since it uses less digits than its factorization.

17308845640064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723130291 (or 723130279 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 56.

The spelling of 17308845640064 in words is "seventeen trillion, three hundred eight billion, eight hundred forty-five million, six hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 704 748 1088 1408 1496 2176 2992 5984 11968 23936 723130249 1446260498 2892520996 5785041992 7954432739 11570083984 12293214233 15908865478 23140167968 24586428466 31817730956 46280335936 49172856932 63635461912 92560671872 98345713864 127270923824 135225356563 196691427728 254541847648 270450713126 393382855456 509083695296 540901426252 786765710912 1018167390592 1081802852504 1573531421824 2163605705008 4327211410016 8654422820032 17308845640064