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87672292443805 = 517157353118715679
BaseRepresentation
bin10011111011110011001011…
…110110010000011010011101
3102111102101111210122201002011
4103323303023312100122131
542442410323331200210
6510244032314231221
724316054064636056
oct2373631366203235
9374371453581064
1087672292443805
1125a31679522003
1299bb589425511
1339bc6004903c4
14179150c30972d
15a20856993d8a
hex4fbccbd9069d

87672292443805 has 64 divisors (see below), whose sum is σ = 112524373463040. Its totient is φ = 65346538143744.

The previous prime is 87672292443779. The next prime is 87672292443817. The reversal of 87672292443805 is 50834429227678.

It is a cyclic number.

It is not a de Polignac number, because 87672292443805 - 25 = 87672292443773 is a prime.

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, 5591693956 + ... + 5591709634.

It is an arithmetic number, because the mean of its divisors is an integer number (1758193335360).

Almost surely, 287672292443805 is an apocalyptic number.

87672292443805 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

87672292443805 is a deficient number, since it is larger than the sum of its proper divisors (24852081019235).

87672292443805 is a wasteful number, since it uses less digits than its factorization.

87672292443805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17398.

The product of its (nonzero) digits is 325140480, while the sum is 67.

The spelling of 87672292443805 in words is "eighty-seven trillion, six hundred seventy-two billion, two hundred ninety-two million, four hundred forty-three thousand, eight hundred five".

Divisors: 1 5 17 85 157 353 785 1187 1765 2669 5935 6001 13345 15679 20179 30005 55421 78395 100895 186359 266543 277105 419011 931795 942157 1332715 2095055 2461603 3168103 4710785 5534687 7123187 12308015 15840515 18610973 27673435 35615935 41847251 65784727 93054865 94089679 209236255 316386541 328923635 470448395 868945859 1118340359 1581932705 2921922761 4344729295 5591701795 6569673469 14609613805 14772079603 32848367345 49672686937 73860398015 111684448973 248363434685 558422244865 1031438734633 5157193673165 17534458488761 87672292443805