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86461366044 = 22323231214173
BaseRepresentation
bin101000010000101111…
…1111011111100011100
322021011122022110220110
41100201133323330130
52404033102203134
6103415251050020
76150410325324
oct1204137737434
9267148273813
1086461366044
1133739207019
121490b8a0910
1381cb979b31
144282d64284
1523b088c7e9
hex14217fbf1c

86461366044 has 108 divisors (see below), whose sum is σ = 217933924488. Its totient is φ = 26676239040.

The previous prime is 86461366039. The next prime is 86461366063. The reversal of 86461366044 is 44066316468.

It is a junction number, because it is equal to n+sod(n) for n = 86461365984 and 86461366002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6093342 + ... + 6107514.

Almost surely, 286461366044 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 86461366044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108966962244).

86461366044 is an abundant number, since it is smaller than the sum of its proper divisors (131472558444).

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

86461366044 is a wasteful number, since it uses less digits than its factorization.

86461366044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14288 (or 14232 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 86461366044 in words is "eighty-six billion, four hundred sixty-one million, three hundred sixty-six thousand, forty-four".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 529 713 961 1058 1426 1587 1922 2116 2139 2852 2883 3174 3844 4278 5766 6348 8556 11532 14173 16399 22103 28346 32798 42519 44206 49197 56692 65596 66309 85038 88412 98394 132618 170076 196788 265236 325979 439363 508369 651958 878726 977937 1016738 1303916 1318089 1525107 1757452 1955874 2033476 2636178 3050214 3911748 5272356 6100428 7497517 10105349 13620253 14995034 20210698 22492551 27240506 29990068 30316047 40421396 40860759 44985102 54481012 60632094 81721518 89970204 121264188 163443036 232423027 313265819 464846054 626531638 697269081 929692108 939797457 1253063276 1394538162 1879594914 2789076324 3759189828 7205113837 14410227674 21615341511 28820455348 43230683022 86461366044