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1666106352 = 24321719113317
BaseRepresentation
bin110001101001110…
…1100001111110000
311022010001222020200
41203103230033300
511403010400402
6433154235200
756200445631
oct14323541760
94263058220
101666106352
117855233a9
123a5b85b00
13207240261
1411b3c1888
159b40b21c
hex634ec3f0

1666106352 has 240 divisors, whose sum is σ = 5259440160. Its totient is φ = 489259008.

The previous prime is 1666106341. The next prime is 1666106363. The reversal of 1666106352 is 2536016661.

It is an interprime number because it is at equal distance from previous prime (1666106341) and next prime (1666106363).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5255698 + ... + 5256014.

It is an arithmetic number, because the mean of its divisors is an integer number (21914334).

Almost surely, 21666106352 is an apocalyptic number.

1666106352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1666106352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629720080).

1666106352 is an abundant number, since it is smaller than the sum of its proper divisors (3593333808).

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

1666106352 is a wasteful number, since it uses less digits than its factorization.

1666106352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1666106352 is about 40817.9660443781. The cubic root of 1666106352 is about 1185.4982213055.

The spelling of 1666106352 in words is "one billion, six hundred sixty-six million, one hundred six thousand, three hundred fifty-two".