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666133583616 = 28331737241101
BaseRepresentation
bin10011011000110001010…
…01111101011100000000
32100200101222212012012000
421230120221331130000
541403220144133431
61230003442304000
766061261015464
oct11543051753400
92320358765160
10666133583616
11237562050826
12a9126958000
134aa7c0550c7
142435359a4a4
15124dace39e6
hex9b18a7d700

666133583616 has 864 divisors, whose sum is σ = 2217670176960. Its totient is φ = 196411392000.

The previous prime is 666133583611. The next prime is 666133583651. The reversal of 666133583616 is 616385331666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666133583611) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6595381966 + ... + 6595382066.

It is an arithmetic number, because the mean of its divisors is an integer number (2566747890).

Almost surely, 2666133583616 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 666133583616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108835088480).

666133583616 is an abundant number, since it is smaller than the sum of its proper divisors (1551536593344).

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

666133583616 is a wasteful number, since it uses less digits than its factorization.

666133583616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 201 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 666133583616 in words is "six hundred sixty-six billion, one hundred thirty-three million, five hundred eighty-three thousand, six hundred sixteen".