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86661125046 = 23317237157809
BaseRepresentation
bin101000010110101100…
…1111101001110110110
322021200120012021202000
41100231121331032312
52404440222000141
6103451144400130
76155354260146
oct1205531751666
9267616167660
1086661125046
1133830a44a01
1214966776046
13823117b522
1442a16c2926
1523c319a5b6
hex142d67d3b6

86661125046 has 128 divisors (see below), whose sum is σ = 215774668800. Its totient is φ = 25639004160.

The previous prime is 86661125039. The next prime is 86661125059. The reversal of 86661125046 is 64052116668.

It is a junction number, because it is equal to n+sod(n) for n = 86661124992 and 86661125010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1470190 + ... + 1527998.

It is an arithmetic number, because the mean of its divisors is an integer number (1685739600).

Almost surely, 286661125046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86661125046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107887334400).

86661125046 is an abundant number, since it is smaller than the sum of its proper divisors (129113543754).

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

86661125046 is a wasteful number, since it uses less digits than its factorization.

86661125046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57931 (or 57925 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 86661125046 in words is "eighty-six billion, six hundred sixty-one million, one hundred twenty-five thousand, forty-six".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 71 102 138 142 153 207 213 306 391 414 426 459 621 639 782 918 1173 1207 1242 1278 1633 1917 2346 2414 3266 3519 3621 3834 4899 7038 7242 9798 10557 10863 14697 21114 21726 27761 29394 32589 44091 55522 57809 65178 83283 88182 115618 166566 173427 249849 346854 499698 520281 749547 982753 1040562 1329607 1499094 1560843 1965506 2659214 2948259 3121686 3988821 4104439 5896518 7977642 8208878 8844777 11966463 12313317 17689554 22603319 23932926 24626634 26534331 35899389 36939951 45206638 53068662 67809957 69775463 71798778 73879902 94402097 110819853 135619914 139550926 188804194 203429871 209326389 221639706 283206291 406859742 418652778 566412582 610289613 627979167 849618873 1220579226 1255958334 1604835649 1699237746 1883937501 2548856619 3209671298 3767875002 4814506947 5097713238 9629013894 14443520841 28887041682 43330562523 86661125046