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1007666863071 = 31146261660067
BaseRepresentation
bin11101010100111011010…
…00000001101111011111
310120022222000222102102120
432222131220001233133
5113002200204104241
62050525445554023
7132541632004341
oct16523550015737
93508860872376
101007666863071
11359392746670
12143361715913
137403a7ab0cb
1436ab2793291
151b3298a9666
hexea9da01bdf

1007666863071 has 16 divisors (see below), whose sum is σ = 1465731159168. Its totient is φ = 610693063200.

The previous prime is 1007666863067. The next prime is 1007666863087. The reversal of 1007666863071 is 1703686667001.

It is not a de Polignac number, because 1007666863071 - 22 = 1007666863067 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007666863031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1196580 + ... + 1856646.

It is an arithmetic number, because the mean of its divisors is an integer number (91608197448).

Almost surely, 21007666863071 is an apocalyptic number.

1007666863071 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1007666863071 is a deficient number, since it is larger than the sum of its proper divisors (458064296097).

1007666863071 is a wasteful number, since it uses less digits than its factorization.

1007666863071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706342.

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 1007666863071 in words is "one trillion, seven billion, six hundred sixty-six million, eight hundred sixty-three thousand, seventy-one".

Divisors: 1 3 11 33 46261 138783 508871 660067 1526613 1980201 7260737 21782211 30535359487 91606078461 335888954357 1007666863071