Search a number
-
+
60105666206320 = 2457148972082973
BaseRepresentation
bin11011010101010011100001…
…11000100001101001110000
321212211001020012222222001021
431222221300320201221300
530334232401022100240
6331500054543545224
715442330304034040
oct1552516070415160
9255731205888037
1060105666206320
1118173740692949
1268a8a69bbb214
13276cc2b256227
1410bb1b6117720
156e374648d54a
hex36aa70e21a70

60105666206320 has 80 divisors (see below), whose sum is σ = 159816603314880. Its totient is φ = 20593816768512.

The previous prime is 60105666206273. The next prime is 60105666206321. The reversal of 60105666206320 is 2360266650106.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×601056662063202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60105666206321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35207647 + ... + 36875326.

It is an arithmetic number, because the mean of its divisors is an integer number (1997707541436).

Almost surely, 260105666206320 is an apocalyptic number.

It is an amenable number.

60105666206320 is an abundant number, since it is smaller than the sum of its proper divisors (99710937108560).

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

60105666206320 is a wasteful number, since it uses less digits than its factorization.

60105666206320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72084482 (or 72084476 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 43.

The spelling of 60105666206320 in words is "sixty trillion, one hundred five billion, six hundred sixty-six million, two hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1489 2978 5956 7445 10423 11912 14890 20846 23824 29780 41692 52115 59560 83384 104230 119120 166768 208460 416920 833840 72082973 144165946 288331892 360414865 504580811 576663784 720829730 1009161622 1153327568 1441659460 2018323244 2522904055 2883318920 4036646488 5045808110 5766637840 8073292976 10091616220 20183232440 40366464880 107331546797 214663093594 429326187188 536657733985 751320827579 858652374376 1073315467970 1502641655158 1717304748752 2146630935940 3005283310316 3756604137895 4293261871880 6010566620632 7513208275790 8586523743760 12021133241264 15026416551580 30052833103160 60105666206320