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96666661000 = 2353741319163
BaseRepresentation
bin101101000000111001…
…0000011000010001000
3100020111212101011202201
41122001302003002020
53040433131123000
6112224050005544
76661330030000
oct1320162030210
9306455334681
1096666661000
1137aa58a0188
12168995768b4
1391670566c0
144970487000
1527ab79d96a
hex1681c83088

96666661000 has 640 divisors, whose sum is σ = 300975292800. Its totient is φ = 28805414400.

The previous prime is 96666660971. The next prime is 96666661027. The reversal of 96666661000 is 16666669.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 96666661000 = 18903 + 44803 = 27793 + 42213.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 593046919 + ... + 593047081.

It is an arithmetic number, because the mean of its divisors is an integer number (470273895).

Almost surely, 296666661000 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 96666661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150487646400).

96666661000 is an abundant number, since it is smaller than the sum of its proper divisors (204308631800).

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

96666661000 is a wasteful number, since it uses less digits than its factorization.

96666661000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 96666661000 in words is "ninety-six billion, six hundred sixty-six million, six hundred sixty-one thousand".