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1066848403680 = 25335377199283
BaseRepresentation
bin11111000011001010001…
…11101100000011100000
310202222201111111011222000
433201211013230003200
5114434401142404210
62134034155444000
7140035332544143
oct17414507540340
93688644434860
101066848403680
113814a2125004
12152919456600
13797ac7c12a7
14398c867405a
151cb4033aac0
hexf8651ec0e0

1066848403680 has 384 divisors, whose sum is σ = 3840634828800. Its totient is φ = 276389148672.

The previous prime is 1066848403679. The next prime is 1066848403711. The reversal of 1066848403680 is 863048486601.

It is a super-2 number, since 2×10668484036802 (a number of 25 digits) contains 22 as substring.

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

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, 114920319 + ... + 114929601.

It is an arithmetic number, because the mean of its divisors is an integer number (10001653200).

Almost surely, 21066848403680 is an apocalyptic number.

1066848403680 is a gapful number since it is divisible by the number (10) 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 1066848403680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920317414400).

1066848403680 is an abundant number, since it is smaller than the sum of its proper divisors (2773786425120).

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

1066848403680 is a wasteful number, since it uses less digits than its factorization.

1066848403680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10063 (or 10049 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 1066848403680 in words is "one trillion, sixty-six billion, eight hundred forty-eight million, four hundred three thousand, six hundred eighty".