Search a number
-
+
86606500060 = 225417110931361
BaseRepresentation
bin101000010101000100…
…1100101000011011100
322021112202102001100101
41100222021211003130
52404332231000220
6103441513510444
76154122050503
oct1205211450334
9267482361311
1086606500060
1133803125393
1214950412424
138222a63c52
14429834383a
1523bd4aa30a
hex142a2650dc

86606500060 has 96 divisors (see below), whose sum is σ = 189245476224. Its totient is φ = 33266688000.

The previous prime is 86606500039. The next prime is 86606500063. The reversal of 86606500060 is 6000560668.

It is a junction number, because it is equal to n+sod(n) for n = 86606499992 and 86606500019.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86606500063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63633780 + ... + 63635140.

It is an arithmetic number, because the mean of its divisors is an integer number (1971307044).

Almost surely, 286606500060 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 86606500060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94622738112).

86606500060 is an abundant number, since it is smaller than the sum of its proper divisors (102638976164).

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

86606500060 is a wasteful number, since it uses less digits than its factorization.

86606500060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 86606500060 in words is "eighty-six billion, six hundred six million, five hundred thousand, sixty".

Divisors: 1 2 4 5 10 20 41 71 82 142 164 205 284 355 410 710 820 1093 1361 1420 2186 2722 2911 4372 5444 5465 5822 6805 10930 11644 13610 14555 21860 27220 29110 44813 55801 58220 77603 89626 96631 111602 155206 179252 193262 223204 224065 279005 310412 386524 388015 448130 483155 558010 776030 896260 966310 1116020 1487573 1552060 1932620 2975146 3181723 3961871 5950292 6363446 7437865 7923742 12726892 14875730 15847484 15908615 19809355 29751460 31817230 39618710 60990493 63634460 79237420 105617683 121980986 211235366 243961972 304952465 422470732 528088415 609904930 1056176830 1219809860 2112353660 4330325003 8660650006 17321300012 21651625015 43303250030 86606500060